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Finding the Fourth Proportional to 1,348.97, 2,022.93 and 527.15

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Solution

The fourth proportional to 1,348.97, 2,022.93 and 527.15 is: 790.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,348.97 : 2,022.93 = 527.15 : x
  2. Step 2: Convert to fraction form
    1,348.97/2,022.93 = 527.15/x
  3. Step 3: Cross multiply
    1,348.97x = 2,022.93 × 527.15
  4. Step 4: Simplify right side
    1,348.97x = 1,066,377.43
  5. Step 5: Solve for x
    x = 1,066,377.43/1,348.97
  6. Step 6: Final answer
    x = 790.52

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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.