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Finding the Fourth Proportional to 1,165.16, 1,747.73 and 471.82

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Solution

The fourth proportional to 1,165.16, 1,747.73 and 471.82 is: 707.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165.16 : 1,747.73 = 471.82 : x
  2. Step 2: Convert to fraction form
    1,165.16/1,747.73 = 471.82/x
  3. Step 3: Cross multiply
    1,165.16x = 1,747.73 × 471.82
  4. Step 4: Simplify right side
    1,165.16x = 824,613.97
  5. Step 5: Solve for x
    x = 824,613.97/1,165.16
  6. Step 6: Final answer
    x = 707.73

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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.