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Finding the Fourth Proportional to 1,053.30, 1,580.17 and 404.03

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Solution

The fourth proportional to 1,053.30, 1,580.17 and 404.03 is: 606.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,053.30 : 1,580.17 = 404.03 : x
  2. Step 2: Convert to fraction form
    1,053.30/1,580.17 = 404.03/x
  3. Step 3: Cross multiply
    1,053.30x = 1,580.17 × 404.03
  4. Step 4: Simplify right side
    1,053.30x = 638,436.09
  5. Step 5: Solve for x
    x = 638,436.09/1,053.30
  6. Step 6: Final answer
    x = 606.13

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