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Finding the Fourth Proportional to 1,165.16, 1,748.36 and 472.20

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Solution

The fourth proportional to 1,165.16, 1,748.36 and 472.20 is: 708.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165.16 : 1,748.36 = 472.20 : x
  2. Step 2: Convert to fraction form
    1,165.16/1,748.36 = 472.20/x
  3. Step 3: Cross multiply
    1,165.16x = 1,748.36 × 472.20
  4. Step 4: Simplify right side
    1,165.16x = 825,575.59
  5. Step 5: Solve for x
    x = 825,575.59/1,165.16
  6. Step 6: Final answer
    x = 708.55

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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.