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Finding the Fourth Proportional to 1,154.57, 1,730.78 and 461.07

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Solution

The fourth proportional to 1,154.57, 1,730.78 and 461.07 is: 691.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,154.57 : 1,730.78 = 461.07 : x
  2. Step 2: Convert to fraction form
    1,154.57/1,730.78 = 461.07/x
  3. Step 3: Cross multiply
    1,154.57x = 1,730.78 × 461.07
  4. Step 4: Simplify right side
    1,154.57x = 797,999.78
  5. Step 5: Solve for x
    x = 797,999.78/1,154.57
  6. Step 6: Final answer
    x = 691.17

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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.