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Finding the Fourth Proportional to 947.40, 1,307.03 and 593.15

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Solution

The fourth proportional to 947.40, 1,307.03 and 593.15 is: 818.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.40 : 1,307.03 = 593.15 : x
  2. Step 2: Convert to fraction form
    947.40/1,307.03 = 593.15/x
  3. Step 3: Cross multiply
    947.40x = 1,307.03 × 593.15
  4. Step 4: Simplify right side
    947.40x = 775,255.34
  5. Step 5: Solve for x
    x = 775,255.34/947.40
  6. Step 6: Final answer
    x = 818.30

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.