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Finding the Fourth Proportional to 862.02, 1,284.75 and 860.66

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Solution

The fourth proportional to 862.02, 1,284.75 and 860.66 is: 1,282.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.02 : 1,284.75 = 860.66 : x
  2. Step 2: Convert to fraction form
    862.02/1,284.75 = 860.66/x
  3. Step 3: Cross multiply
    862.02x = 1,284.75 × 860.66
  4. Step 4: Simplify right side
    862.02x = 1,105,726.51
  5. Step 5: Solve for x
    x = 1,105,726.51/862.02
  6. Step 6: Final answer
    x = 1,282.72

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.