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Finding the Fourth Proportional to 1,064.12, 1,467.05 and 748.85

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Solution

The fourth proportional to 1,064.12, 1,467.05 and 748.85 is: 1,032.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,064.12 : 1,467.05 = 748.85 : x
  2. Step 2: Convert to fraction form
    1,064.12/1,467.05 = 748.85/x
  3. Step 3: Cross multiply
    1,064.12x = 1,467.05 × 748.85
  4. Step 4: Simplify right side
    1,064.12x = 1,098,589.31
  5. Step 5: Solve for x
    x = 1,098,589.31/1,064.12
  6. Step 6: Final answer
    x = 1,032.40

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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.