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Finding the Fourth Proportional to 1,165.39, 1,748.49 and 471.84

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Solution

The fourth proportional to 1,165.39, 1,748.49 and 471.84 is: 707.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165.39 : 1,748.49 = 471.84 : x
  2. Step 2: Convert to fraction form
    1,165.39/1,748.49 = 471.84/x
  3. Step 3: Cross multiply
    1,165.39x = 1,748.49 × 471.84
  4. Step 4: Simplify right side
    1,165.39x = 825,007.52
  5. Step 5: Solve for x
    x = 825,007.52/1,165.39
  6. Step 6: Final answer
    x = 707.92

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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.