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Finding the Fourth Proportional to 1,094.19, 1,509.96 and 596.84

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Solution

The fourth proportional to 1,094.19, 1,509.96 and 596.84 is: 823.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,094.19 : 1,509.96 = 596.84 : x
  2. Step 2: Convert to fraction form
    1,094.19/1,509.96 = 596.84/x
  3. Step 3: Cross multiply
    1,094.19x = 1,509.96 × 596.84
  4. Step 4: Simplify right side
    1,094.19x = 901,196.98
  5. Step 5: Solve for x
    x = 901,196.98/1,094.19
  6. Step 6: Final answer
    x = 823.62

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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.