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Finding the Fourth Proportional to 1,167.87, 1,751.76 and 437.46

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Solution

The fourth proportional to 1,167.87, 1,751.76 and 437.46 is: 656.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,167.87 : 1,751.76 = 437.46 : x
  2. Step 2: Convert to fraction form
    1,167.87/1,751.76 = 437.46/x
  3. Step 3: Cross multiply
    1,167.87x = 1,751.76 × 437.46
  4. Step 4: Simplify right side
    1,167.87x = 766,324.93
  5. Step 5: Solve for x
    x = 766,324.93/1,167.87
  6. Step 6: Final answer
    x = 656.17

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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.