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Finding the Fourth Proportional to 851.01, 1,174.35 and 686.40

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Solution

The fourth proportional to 851.01, 1,174.35 and 686.40 is: 947.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.01 : 1,174.35 = 686.40 : x
  2. Step 2: Convert to fraction form
    851.01/1,174.35 = 686.40/x
  3. Step 3: Cross multiply
    851.01x = 1,174.35 × 686.40
  4. Step 4: Simplify right side
    851.01x = 806,073.84
  5. Step 5: Solve for x
    x = 806,073.84/851.01
  6. Step 6: Final answer
    x = 947.20

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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.