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Finding the Fourth Proportional to 1,166.78, 1,751.18 and 473.83

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Solution

The fourth proportional to 1,166.78, 1,751.18 and 473.83 is: 711.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,166.78 : 1,751.18 = 473.83 : x
  2. Step 2: Convert to fraction form
    1,166.78/1,751.18 = 473.83/x
  3. Step 3: Cross multiply
    1,166.78x = 1,751.18 × 473.83
  4. Step 4: Simplify right side
    1,166.78x = 829,761.62
  5. Step 5: Solve for x
    x = 829,761.62/1,166.78
  6. Step 6: Final answer
    x = 711.16

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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.