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Finding the Fourth Proportional to 1,154.83, 1,732.35 and 414.61

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Solution

The fourth proportional to 1,154.83, 1,732.35 and 414.61 is: 621.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,154.83 : 1,732.35 = 414.61 : x
  2. Step 2: Convert to fraction form
    1,154.83/1,732.35 = 414.61/x
  3. Step 3: Cross multiply
    1,154.83x = 1,732.35 × 414.61
  4. Step 4: Simplify right side
    1,154.83x = 718,249.63
  5. Step 5: Solve for x
    x = 718,249.63/1,154.83
  6. Step 6: Final answer
    x = 621.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.