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Finding the Fourth Proportional to 1,160.48, 1,740.24 and 429.92

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Solution

The fourth proportional to 1,160.48, 1,740.24 and 429.92 is: 644.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,160.48 : 1,740.24 = 429.92 : x
  2. Step 2: Convert to fraction form
    1,160.48/1,740.24 = 429.92/x
  3. Step 3: Cross multiply
    1,160.48x = 1,740.24 × 429.92
  4. Step 4: Simplify right side
    1,160.48x = 748,163.98
  5. Step 5: Solve for x
    x = 748,163.98/1,160.48
  6. Step 6: Final answer
    x = 644.70

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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.