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Finding the Fourth Proportional to 1,071.78, 1,478.98 and 593.14

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Solution

The fourth proportional to 1,071.78, 1,478.98 and 593.14 is: 818.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,071.78 : 1,478.98 = 593.14 : x
  2. Step 2: Convert to fraction form
    1,071.78/1,478.98 = 593.14/x
  3. Step 3: Cross multiply
    1,071.78x = 1,478.98 × 593.14
  4. Step 4: Simplify right side
    1,071.78x = 877,242.20
  5. Step 5: Solve for x
    x = 877,242.20/1,071.78
  6. Step 6: Final answer
    x = 818.49

Related Problems

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.