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Finding the Fourth Proportional to 1,060.55, 1,462.20 and 686.87

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Solution

The fourth proportional to 1,060.55, 1,462.20 and 686.87 is: 947.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,060.55 : 1,462.20 = 686.87 : x
  2. Step 2: Convert to fraction form
    1,060.55/1,462.20 = 686.87/x
  3. Step 3: Cross multiply
    1,060.55x = 1,462.20 × 686.87
  4. Step 4: Simplify right side
    1,060.55x = 1,004,341.31
  5. Step 5: Solve for x
    x = 1,004,341.31/1,060.55
  6. Step 6: Final answer
    x = 947.00

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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.