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Finding the Fourth Proportional to 1,036.71, 1,553.09 and 613.29

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Solution

The fourth proportional to 1,036.71, 1,553.09 and 613.29 is: 918.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,036.71 : 1,553.09 = 613.29 : x
  2. Step 2: Convert to fraction form
    1,036.71/1,553.09 = 613.29/x
  3. Step 3: Cross multiply
    1,036.71x = 1,553.09 × 613.29
  4. Step 4: Simplify right side
    1,036.71x = 952,494.57
  5. Step 5: Solve for x
    x = 952,494.57/1,036.71
  6. Step 6: Final answer
    x = 918.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.