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Finding the Fourth Proportional to 1,154.86, 1,733.82 and 687.20

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Solution

The fourth proportional to 1,154.86, 1,733.82 and 687.20 is: 1,031.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,154.86 : 1,733.82 = 687.20 : x
  2. Step 2: Convert to fraction form
    1,154.86/1,733.82 = 687.20/x
  3. Step 3: Cross multiply
    1,154.86x = 1,733.82 × 687.20
  4. Step 4: Simplify right side
    1,154.86x = 1,191,473.26
  5. Step 5: Solve for x
    x = 1,191,473.26/1,154.86
  6. Step 6: Final answer
    x = 1,031.71

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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.