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Finding the Fourth Proportional to 951.84, 1,312.92 and 657.36

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Solution

The fourth proportional to 951.84, 1,312.92 and 657.36 is: 906.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    951.84 : 1,312.92 = 657.36 : x
  2. Step 2: Convert to fraction form
    951.84/1,312.92 = 657.36/x
  3. Step 3: Cross multiply
    951.84x = 1,312.92 × 657.36
  4. Step 4: Simplify right side
    951.84x = 863,061.09
  5. Step 5: Solve for x
    x = 863,061.09/951.84
  6. Step 6: Final answer
    x = 906.73

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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.