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Finding the Fourth Proportional to 1,528.34, 2,292.21 and 432.68

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Solution

The fourth proportional to 1,528.34, 2,292.21 and 432.68 is: 648.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,528.34 : 2,292.21 = 432.68 : x
  2. Step 2: Convert to fraction form
    1,528.34/2,292.21 = 432.68/x
  3. Step 3: Cross multiply
    1,528.34x = 2,292.21 × 432.68
  4. Step 4: Simplify right side
    1,528.34x = 991,781.96
  5. Step 5: Solve for x
    x = 991,781.96/1,528.34
  6. Step 6: Final answer
    x = 648.93

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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.