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Finding the Fourth Proportional to 1,048.26, 1,572.47 and 278.74

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Solution

The fourth proportional to 1,048.26, 1,572.47 and 278.74 is: 418.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,048.26 : 1,572.47 = 278.74 : x
  2. Step 2: Convert to fraction form
    1,048.26/1,572.47 = 278.74/x
  3. Step 3: Cross multiply
    1,048.26x = 1,572.47 × 278.74
  4. Step 4: Simplify right side
    1,048.26x = 438,310.29
  5. Step 5: Solve for x
    x = 438,310.29/1,048.26
  6. Step 6: Final answer
    x = 418.13

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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.