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Finding the Fourth Proportional to 1,148.47, 1,723.05 and 418.15

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Solution

The fourth proportional to 1,148.47, 1,723.05 and 418.15 is: 627.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,148.47 : 1,723.05 = 418.15 : x
  2. Step 2: Convert to fraction form
    1,148.47/1,723.05 = 418.15/x
  3. Step 3: Cross multiply
    1,148.47x = 1,723.05 × 418.15
  4. Step 4: Simplify right side
    1,148.47x = 720,493.36
  5. Step 5: Solve for x
    x = 720,493.36/1,148.47
  6. Step 6: Final answer
    x = 627.35

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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.