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Finding the Fourth Proportional to 1,472.90, 2,209.34 and 742.30

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Solution

The fourth proportional to 1,472.90, 2,209.34 and 742.30 is: 1,113.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,472.90 : 2,209.34 = 742.30 : x
  2. Step 2: Convert to fraction form
    1,472.90/2,209.34 = 742.30/x
  3. Step 3: Cross multiply
    1,472.90x = 2,209.34 × 742.30
  4. Step 4: Simplify right side
    1,472.90x = 1,639,989.41
  5. Step 5: Solve for x
    x = 1,639,989.41/1,472.90
  6. Step 6: Final answer
    x = 1,113.45

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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.