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Finding the Fourth Proportional to 963.78, 1,446.45 and 501.72

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Solution

The fourth proportional to 963.78, 1,446.45 and 501.72 is: 752.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    963.78 : 1,446.45 = 501.72 : x
  2. Step 2: Convert to fraction form
    963.78/1,446.45 = 501.72/x
  3. Step 3: Cross multiply
    963.78x = 1,446.45 × 501.72
  4. Step 4: Simplify right side
    963.78x = 725,712.89
  5. Step 5: Solve for x
    x = 725,712.89/963.78
  6. Step 6: Final answer
    x = 752.99

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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.