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Finding the Fourth Proportional to 1,154.88, 1,731.69 and 414.39

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Solution

The fourth proportional to 1,154.88, 1,731.69 and 414.39 is: 621.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,154.88 : 1,731.69 = 414.39 : x
  2. Step 2: Convert to fraction form
    1,154.88/1,731.69 = 414.39/x
  3. Step 3: Cross multiply
    1,154.88x = 1,731.69 × 414.39
  4. Step 4: Simplify right side
    1,154.88x = 717,595.02
  5. Step 5: Solve for x
    x = 717,595.02/1,154.88
  6. Step 6: Final answer
    x = 621.36

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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.