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Finding the Fourth Proportional to 1,048.47, 1,572.76 and 268.48

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Solution

The fourth proportional to 1,048.47, 1,572.76 and 268.48 is: 402.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,048.47 : 1,572.76 = 268.48 : x
  2. Step 2: Convert to fraction form
    1,048.47/1,572.76 = 268.48/x
  3. Step 3: Cross multiply
    1,048.47x = 1,572.76 × 268.48
  4. Step 4: Simplify right side
    1,048.47x = 422,246.07
  5. Step 5: Solve for x
    x = 422,246.07/1,048.47
  6. Step 6: Final answer
    x = 402.73

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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.