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Finding the Fourth Proportional to 1,031.25, 1,545.06 and 813.28

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Solution

The fourth proportional to 1,031.25, 1,545.06 and 813.28 is: 1,218.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031.25 : 1,545.06 = 813.28 : x
  2. Step 2: Convert to fraction form
    1,031.25/1,545.06 = 813.28/x
  3. Step 3: Cross multiply
    1,031.25x = 1,545.06 × 813.28
  4. Step 4: Simplify right side
    1,031.25x = 1,256,566.40
  5. Step 5: Solve for x
    x = 1,256,566.40/1,031.25
  6. Step 6: Final answer
    x = 1,218.49

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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.