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Finding the Fourth Proportional to 1,062.24, 1,592.84 and 484.72

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Solution

The fourth proportional to 1,062.24, 1,592.84 and 484.72 is: 726.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,062.24 : 1,592.84 = 484.72 : x
  2. Step 2: Convert to fraction form
    1,062.24/1,592.84 = 484.72/x
  3. Step 3: Cross multiply
    1,062.24x = 1,592.84 × 484.72
  4. Step 4: Simplify right side
    1,062.24x = 772,081.40
  5. Step 5: Solve for x
    x = 772,081.40/1,062.24
  6. Step 6: Final answer
    x = 726.84

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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.