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Finding the Fourth Proportional to 1,085.30, 1,497.94 and 686.70

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Solution

The fourth proportional to 1,085.30, 1,497.94 and 686.70 is: 947.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,085.30 : 1,497.94 = 686.70 : x
  2. Step 2: Convert to fraction form
    1,085.30/1,497.94 = 686.70/x
  3. Step 3: Cross multiply
    1,085.30x = 1,497.94 × 686.70
  4. Step 4: Simplify right side
    1,085.30x = 1,028,635.40
  5. Step 5: Solve for x
    x = 1,028,635.40/1,085.30
  6. Step 6: Final answer
    x = 947.79

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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.