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Finding the Fourth Proportional to 1,266.32, 1,897.65 and 562.68

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Solution

The fourth proportional to 1,266.32, 1,897.65 and 562.68 is: 843.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,266.32 : 1,897.65 = 562.68 : x
  2. Step 2: Convert to fraction form
    1,266.32/1,897.65 = 562.68/x
  3. Step 3: Cross multiply
    1,266.32x = 1,897.65 × 562.68
  4. Step 4: Simplify right side
    1,266.32x = 1,067,769.70
  5. Step 5: Solve for x
    x = 1,067,769.70/1,266.32
  6. Step 6: Final answer
    x = 843.21

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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.