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Finding the Fourth Proportional to 1,061.73, 1,586.07 and 766.71

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Solution

The fourth proportional to 1,061.73, 1,586.07 and 766.71 is: 1,145.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,061.73 : 1,586.07 = 766.71 : x
  2. Step 2: Convert to fraction form
    1,061.73/1,586.07 = 766.71/x
  3. Step 3: Cross multiply
    1,061.73x = 1,586.07 × 766.71
  4. Step 4: Simplify right side
    1,061.73x = 1,216,051.90
  5. Step 5: Solve for x
    x = 1,216,051.90/1,061.73
  6. Step 6: Final answer
    x = 1,145.35

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.