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Finding the Fourth Proportional to 1,165.86, 1,748.35 and 472.31

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Solution

The fourth proportional to 1,165.86, 1,748.35 and 472.31 is: 708.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165.86 : 1,748.35 = 472.31 : x
  2. Step 2: Convert to fraction form
    1,165.86/1,748.35 = 472.31/x
  3. Step 3: Cross multiply
    1,165.86x = 1,748.35 × 472.31
  4. Step 4: Simplify right side
    1,165.86x = 825,763.19
  5. Step 5: Solve for x
    x = 825,763.19/1,165.86
  6. Step 6: Final answer
    x = 708.29

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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.