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Finding the Fourth Proportional to 1,050.20, 1,572.42 and 616.60

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Solution

The fourth proportional to 1,050.20, 1,572.42 and 616.60 is: 923.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,050.20 : 1,572.42 = 616.60 : x
  2. Step 2: Convert to fraction form
    1,050.20/1,572.42 = 616.60/x
  3. Step 3: Cross multiply
    1,050.20x = 1,572.42 × 616.60
  4. Step 4: Simplify right side
    1,050.20x = 969,554.17
  5. Step 5: Solve for x
    x = 969,554.17/1,050.20
  6. Step 6: Final answer
    x = 923.21

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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.