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Finding the Fourth Proportional to 1,454.14, 2,006.90 and 864.68

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Solution

The fourth proportional to 1,454.14, 2,006.90 and 864.68 is: 1,193.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,454.14 : 2,006.90 = 864.68 : x
  2. Step 2: Convert to fraction form
    1,454.14/2,006.90 = 864.68/x
  3. Step 3: Cross multiply
    1,454.14x = 2,006.90 × 864.68
  4. Step 4: Simplify right side
    1,454.14x = 1,735,326.29
  5. Step 5: Solve for x
    x = 1,735,326.29/1,454.14
  6. Step 6: Final answer
    x = 1,193.37

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1.5x scale

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.