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Finding the Fourth Proportional to 1,154.88, 1,732.44 and 424.47

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Solution

The fourth proportional to 1,154.88, 1,732.44 and 424.47 is: 636.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,154.88 : 1,732.44 = 424.47 : x
  2. Step 2: Convert to fraction form
    1,154.88/1,732.44 = 424.47/x
  3. Step 3: Cross multiply
    1,154.88x = 1,732.44 × 424.47
  4. Step 4: Simplify right side
    1,154.88x = 735,368.81
  5. Step 5: Solve for x
    x = 735,368.81/1,154.88
  6. Step 6: Final answer
    x = 636.75

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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.