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Finding the Fourth Proportional to 736.29, 1,013.72 and 588.06

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Solution

The fourth proportional to 736.29, 1,013.72 and 588.06 is: 809.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    736.29 : 1,013.72 = 588.06 : x
  2. Step 2: Convert to fraction form
    736.29/1,013.72 = 588.06/x
  3. Step 3: Cross multiply
    736.29x = 1,013.72 × 588.06
  4. Step 4: Simplify right side
    736.29x = 596,125.24
  5. Step 5: Solve for x
    x = 596,125.24/736.29
  6. Step 6: Final answer
    x = 809.63

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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.