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Finding the Fourth Proportional to 1,069.66, 1,472.70 and 931.60

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Solution

The fourth proportional to 1,069.66, 1,472.70 and 931.60 is: 1,282.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,069.66 : 1,472.70 = 931.60 : x
  2. Step 2: Convert to fraction form
    1,069.66/1,472.70 = 931.60/x
  3. Step 3: Cross multiply
    1,069.66x = 1,472.70 × 931.60
  4. Step 4: Simplify right side
    1,069.66x = 1,371,967.32
  5. Step 5: Solve for x
    x = 1,371,967.32/1,069.66
  6. Step 6: Final answer
    x = 1,282.62

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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.