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Finding the Fourth Proportional to 1,265.54, 1,898.72 and 572.72

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Solution

The fourth proportional to 1,265.54, 1,898.72 and 572.72 is: 859.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,265.54 : 1,898.72 = 572.72 : x
  2. Step 2: Convert to fraction form
    1,265.54/1,898.72 = 572.72/x
  3. Step 3: Cross multiply
    1,265.54x = 1,898.72 × 572.72
  4. Step 4: Simplify right side
    1,265.54x = 1,087,432.05
  5. Step 5: Solve for x
    x = 1,087,432.05/1,265.54
  6. Step 6: Final answer
    x = 859.26

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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.