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Finding the Fourth Proportional to 841.49, 1,262.13 and 225.23

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Solution

The fourth proportional to 841.49, 1,262.13 and 225.23 is: 337.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    841.49 : 1,262.13 = 225.23 : x
  2. Step 2: Convert to fraction form
    841.49/1,262.13 = 225.23/x
  3. Step 3: Cross multiply
    841.49x = 1,262.13 × 225.23
  4. Step 4: Simplify right side
    841.49x = 284,270.75
  5. Step 5: Solve for x
    x = 284,270.75/841.49
  6. Step 6: Final answer
    x = 337.82

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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.