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Finding the Fourth Proportional to 1,165.52, 1,748.00 and 471.99

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Solution

The fourth proportional to 1,165.52, 1,748.00 and 471.99 is: 707.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165.52 : 1,748.00 = 471.99 : x
  2. Step 2: Convert to fraction form
    1,165.52/1,748.00 = 471.99/x
  3. Step 3: Cross multiply
    1,165.52x = 1,748.00 × 471.99
  4. Step 4: Simplify right side
    1,165.52x = 825,039.70
  5. Step 5: Solve for x
    x = 825,039.70/1,165.52
  6. Step 6: Final answer
    x = 707.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.