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Finding the Fourth Proportional to 1,354.16, 2,031.48 and 584.48

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Solution

The fourth proportional to 1,354.16, 2,031.48 and 584.48 is: 876.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,354.16 : 2,031.48 = 584.48 : x
  2. Step 2: Convert to fraction form
    1,354.16/2,031.48 = 584.48/x
  3. Step 3: Cross multiply
    1,354.16x = 2,031.48 × 584.48
  4. Step 4: Simplify right side
    1,354.16x = 1,187,359.43
  5. Step 5: Solve for x
    x = 1,187,359.43/1,354.16
  6. Step 6: Final answer
    x = 876.82

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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.