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Finding the Fourth Proportional to 951.30, 1,312.86 and 685.64

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Solution

The fourth proportional to 951.30, 1,312.86 and 685.64 is: 946.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    951.30 : 1,312.86 = 685.64 : x
  2. Step 2: Convert to fraction form
    951.30/1,312.86 = 685.64/x
  3. Step 3: Cross multiply
    951.30x = 1,312.86 × 685.64
  4. Step 4: Simplify right side
    951.30x = 900,149.33
  5. Step 5: Solve for x
    x = 900,149.33/951.30
  6. Step 6: Final answer
    x = 946.23

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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.