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Finding the Fourth Proportional to 1,154.92, 1,733.26 and 424.68

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Solution

The fourth proportional to 1,154.92, 1,733.26 and 424.68 is: 637.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,154.92 : 1,733.26 = 424.68 : x
  2. Step 2: Convert to fraction form
    1,154.92/1,733.26 = 424.68/x
  3. Step 3: Cross multiply
    1,154.92x = 1,733.26 × 424.68
  4. Step 4: Simplify right side
    1,154.92x = 736,080.86
  5. Step 5: Solve for x
    x = 736,080.86/1,154.92
  6. Step 6: Final answer
    x = 637.34

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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.