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Finding the Fourth Proportional to 1,149.40, 1,586.17 and 625.43

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Solution

The fourth proportional to 1,149.40, 1,586.17 and 625.43 is: 863.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,149.40 : 1,586.17 = 625.43 : x
  2. Step 2: Convert to fraction form
    1,149.40/1,586.17 = 625.43/x
  3. Step 3: Cross multiply
    1,149.40x = 1,586.17 × 625.43
  4. Step 4: Simplify right side
    1,149.40x = 992,040.35
  5. Step 5: Solve for x
    x = 992,040.35/1,149.40
  6. Step 6: Final answer
    x = 863.10

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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.