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Finding the Fourth Proportional to 1,275.40, 1,913.10 and 813.70

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Solution

The fourth proportional to 1,275.40, 1,913.10 and 813.70 is: 1,220.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,275.40 : 1,913.10 = 813.70 : x
  2. Step 2: Convert to fraction form
    1,275.40/1,913.10 = 813.70/x
  3. Step 3: Cross multiply
    1,275.40x = 1,913.10 × 813.70
  4. Step 4: Simplify right side
    1,275.40x = 1,556,689.47
  5. Step 5: Solve for x
    x = 1,556,689.47/1,275.40
  6. Step 6: Final answer
    x = 1,220.55

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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.