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Finding the Fourth Proportional to 1,528.32, 2,292.49 and 488.31

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Solution

The fourth proportional to 1,528.32, 2,292.49 and 488.31 is: 732.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,528.32 : 2,292.49 = 488.31 : x
  2. Step 2: Convert to fraction form
    1,528.32/2,292.49 = 488.31/x
  3. Step 3: Cross multiply
    1,528.32x = 2,292.49 × 488.31
  4. Step 4: Simplify right side
    1,528.32x = 1,119,445.79
  5. Step 5: Solve for x
    x = 1,119,445.79/1,528.32
  6. Step 6: Final answer
    x = 732.47

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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.