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Finding the Fourth Proportional to 1,306.57, 1,959.33 and 575.63

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Solution

The fourth proportional to 1,306.57, 1,959.33 and 575.63 is: 863.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,306.57 : 1,959.33 = 575.63 : x
  2. Step 2: Convert to fraction form
    1,306.57/1,959.33 = 575.63/x
  3. Step 3: Cross multiply
    1,306.57x = 1,959.33 × 575.63
  4. Step 4: Simplify right side
    1,306.57x = 1,127,839.33
  5. Step 5: Solve for x
    x = 1,127,839.33/1,306.57
  6. Step 6: Final answer
    x = 863.21

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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.