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Finding the Fourth Proportional to 952.47, 1,428.88 and 432.45

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Solution

The fourth proportional to 952.47, 1,428.88 and 432.45 is: 648.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    952.47 : 1,428.88 = 432.45 : x
  2. Step 2: Convert to fraction form
    952.47/1,428.88 = 432.45/x
  3. Step 3: Cross multiply
    952.47x = 1,428.88 × 432.45
  4. Step 4: Simplify right side
    952.47x = 617,916.99
  5. Step 5: Solve for x
    x = 617,916.99/952.47
  6. Step 6: Final answer
    x = 648.75

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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.