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Finding the Fourth Proportional to 1,160.29, 1,740.24 and 466.78

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Solution

The fourth proportional to 1,160.29, 1,740.24 and 466.78 is: 700.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,160.29 : 1,740.24 = 466.78 : x
  2. Step 2: Convert to fraction form
    1,160.29/1,740.24 = 466.78/x
  3. Step 3: Cross multiply
    1,160.29x = 1,740.24 × 466.78
  4. Step 4: Simplify right side
    1,160.29x = 812,309.23
  5. Step 5: Solve for x
    x = 812,309.23/1,160.29
  6. Step 6: Final answer
    x = 700.09

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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.