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Finding the Fourth Proportional to 1,154.43, 1,730.61 and 460.98

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Solution

The fourth proportional to 1,154.43, 1,730.61 and 460.98 is: 691.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,154.43 : 1,730.61 = 460.98 : x
  2. Step 2: Convert to fraction form
    1,154.43/1,730.61 = 460.98/x
  3. Step 3: Cross multiply
    1,154.43x = 1,730.61 × 460.98
  4. Step 4: Simplify right side
    1,154.43x = 797,776.60
  5. Step 5: Solve for x
    x = 797,776.60/1,154.43
  6. Step 6: Final answer
    x = 691.06

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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.