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Finding the Fourth Proportional to 1,159.67, 1,740.42 and 429.46

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Solution

The fourth proportional to 1,159.67, 1,740.42 and 429.46 is: 644.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,159.67 : 1,740.42 = 429.46 : x
  2. Step 2: Convert to fraction form
    1,159.67/1,740.42 = 429.46/x
  3. Step 3: Cross multiply
    1,159.67x = 1,740.42 × 429.46
  4. Step 4: Simplify right side
    1,159.67x = 747,436.42
  5. Step 5: Solve for x
    x = 747,436.42/1,159.67
  6. Step 6: Final answer
    x = 644.52

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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.