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Finding the Fourth Proportional to 1,034.27, 1,549.32 and 478.19

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Solution

The fourth proportional to 1,034.27, 1,549.32 and 478.19 is: 716.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,034.27 : 1,549.32 = 478.19 : x
  2. Step 2: Convert to fraction form
    1,034.27/1,549.32 = 478.19/x
  3. Step 3: Cross multiply
    1,034.27x = 1,549.32 × 478.19
  4. Step 4: Simplify right side
    1,034.27x = 740,866.94
  5. Step 5: Solve for x
    x = 740,866.94/1,034.27
  6. Step 6: Final answer
    x = 716.32

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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.