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Finding the Fourth Proportional to 1,151.10, 1,726.18 and 457.67

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Solution

The fourth proportional to 1,151.10, 1,726.18 and 457.67 is: 686.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,151.10 : 1,726.18 = 457.67 : x
  2. Step 2: Convert to fraction form
    1,151.10/1,726.18 = 457.67/x
  3. Step 3: Cross multiply
    1,151.10x = 1,726.18 × 457.67
  4. Step 4: Simplify right side
    1,151.10x = 790,023.97
  5. Step 5: Solve for x
    x = 790,023.97/1,151.10
  6. Step 6: Final answer
    x = 686.32

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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.