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Finding the Fourth Proportional to 1,165.38, 1,748.06 and 471.81

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Solution

The fourth proportional to 1,165.38, 1,748.06 and 471.81 is: 707.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165.38 : 1,748.06 = 471.81 : x
  2. Step 2: Convert to fraction form
    1,165.38/1,748.06 = 471.81/x
  3. Step 3: Cross multiply
    1,165.38x = 1,748.06 × 471.81
  4. Step 4: Simplify right side
    1,165.38x = 824,752.19
  5. Step 5: Solve for x
    x = 824,752.19/1,165.38
  6. Step 6: Final answer
    x = 707.71

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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.