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Finding the Fourth Proportional to 1,065.78, 1,472.85 and 866.23

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Solution

The fourth proportional to 1,065.78, 1,472.85 and 866.23 is: 1,197.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,065.78 : 1,472.85 = 866.23 : x
  2. Step 2: Convert to fraction form
    1,065.78/1,472.85 = 866.23/x
  3. Step 3: Cross multiply
    1,065.78x = 1,472.85 × 866.23
  4. Step 4: Simplify right side
    1,065.78x = 1,275,823.17
  5. Step 5: Solve for x
    x = 1,275,823.17/1,065.78
  6. Step 6: Final answer
    x = 1,197.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.