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Finding the Fourth Proportional to 1,031.82, 1,548.66 and 484.32

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Solution

The fourth proportional to 1,031.82, 1,548.66 and 484.32 is: 726.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031.82 : 1,548.66 = 484.32 : x
  2. Step 2: Convert to fraction form
    1,031.82/1,548.66 = 484.32/x
  3. Step 3: Cross multiply
    1,031.82x = 1,548.66 × 484.32
  4. Step 4: Simplify right side
    1,031.82x = 750,047.01
  5. Step 5: Solve for x
    x = 750,047.01/1,031.82
  6. Step 6: Final answer
    x = 726.92

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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.