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Finding the Fourth Proportional to 1,397.14, 2,095.78 and 531.52

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Solution

The fourth proportional to 1,397.14, 2,095.78 and 531.52 is: 797.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,397.14 : 2,095.78 = 531.52 : x
  2. Step 2: Convert to fraction form
    1,397.14/2,095.78 = 531.52/x
  3. Step 3: Cross multiply
    1,397.14x = 2,095.78 × 531.52
  4. Step 4: Simplify right side
    1,397.14x = 1,113,948.99
  5. Step 5: Solve for x
    x = 1,113,948.99/1,397.14
  6. Step 6: Final answer
    x = 797.31

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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.