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Finding the Fourth Proportional to 924.46, 1,275.69 and 663.64

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Solution

The fourth proportional to 924.46, 1,275.69 and 663.64 is: 915.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.46 : 1,275.69 = 663.64 : x
  2. Step 2: Convert to fraction form
    924.46/1,275.69 = 663.64/x
  3. Step 3: Cross multiply
    924.46x = 1,275.69 × 663.64
  4. Step 4: Simplify right side
    924.46x = 846,598.91
  5. Step 5: Solve for x
    x = 846,598.91/924.46
  6. Step 6: Final answer
    x = 915.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.