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Finding the Fourth Proportional to 1,161.58, 1,740.19 and 575.90

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Solution

The fourth proportional to 1,161.58, 1,740.19 and 575.90 is: 862.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,161.58 : 1,740.19 = 575.90 : x
  2. Step 2: Convert to fraction form
    1,161.58/1,740.19 = 575.90/x
  3. Step 3: Cross multiply
    1,161.58x = 1,740.19 × 575.90
  4. Step 4: Simplify right side
    1,161.58x = 1,002,175.42
  5. Step 5: Solve for x
    x = 1,002,175.42/1,161.58
  6. Step 6: Final answer
    x = 862.77

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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.