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Finding the Fourth Proportional to 1,458.33, 2,012.31 and 860.91

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Solution

The fourth proportional to 1,458.33, 2,012.31 and 860.91 is: 1,187.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,458.33 : 2,012.31 = 860.91 : x
  2. Step 2: Convert to fraction form
    1,458.33/2,012.31 = 860.91/x
  3. Step 3: Cross multiply
    1,458.33x = 2,012.31 × 860.91
  4. Step 4: Simplify right side
    1,458.33x = 1,732,417.80
  5. Step 5: Solve for x
    x = 1,732,417.80/1,458.33
  6. Step 6: Final answer
    x = 1,187.95

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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.