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Finding the Fourth Proportional to 1,053.59, 1,580.81 and 404.15

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Solution

The fourth proportional to 1,053.59, 1,580.81 and 404.15 is: 606.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,053.59 : 1,580.81 = 404.15 : x
  2. Step 2: Convert to fraction form
    1,053.59/1,580.81 = 404.15/x
  3. Step 3: Cross multiply
    1,053.59x = 1,580.81 × 404.15
  4. Step 4: Simplify right side
    1,053.59x = 638,874.44
  5. Step 5: Solve for x
    x = 638,874.44/1,053.59
  6. Step 6: Final answer
    x = 606.38

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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.