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Finding the Fourth Proportional to 1,048.30, 1,444.15 and 732.97

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Solution

The fourth proportional to 1,048.30, 1,444.15 and 732.97 is: 1,009.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,048.30 : 1,444.15 = 732.97 : x
  2. Step 2: Convert to fraction form
    1,048.30/1,444.15 = 732.97/x
  3. Step 3: Cross multiply
    1,048.30x = 1,444.15 × 732.97
  4. Step 4: Simplify right side
    1,048.30x = 1,058,527.47
  5. Step 5: Solve for x
    x = 1,058,527.47/1,048.30
  6. Step 6: Final answer
    x = 1,009.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.