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Finding the Fourth Proportional to 1,472.75, 2,209.13 and 446.75

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Solution

The fourth proportional to 1,472.75, 2,209.13 and 446.75 is: 670.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,472.75 : 2,209.13 = 446.75 : x
  2. Step 2: Convert to fraction form
    1,472.75/2,209.13 = 446.75/x
  3. Step 3: Cross multiply
    1,472.75x = 2,209.13 × 446.75
  4. Step 4: Simplify right side
    1,472.75x = 986,926.59
  5. Step 5: Solve for x
    x = 986,926.59/1,472.75
  6. Step 6: Final answer
    x = 670.13

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.