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Finding the Fourth Proportional to 1,151.12, 1,726.30 and 457.58

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Solution

The fourth proportional to 1,151.12, 1,726.30 and 457.58 is: 686.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,151.12 : 1,726.30 = 457.58 : x
  2. Step 2: Convert to fraction form
    1,151.12/1,726.30 = 457.58/x
  3. Step 3: Cross multiply
    1,151.12x = 1,726.30 × 457.58
  4. Step 4: Simplify right side
    1,151.12x = 789,920.35
  5. Step 5: Solve for x
    x = 789,920.35/1,151.12
  6. Step 6: Final answer
    x = 686.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.