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Finding the Fourth Proportional to 874.71, 1,206.12 and 638.25

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Solution

The fourth proportional to 874.71, 1,206.12 and 638.25 is: 880.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.71 : 1,206.12 = 638.25 : x
  2. Step 2: Convert to fraction form
    874.71/1,206.12 = 638.25/x
  3. Step 3: Cross multiply
    874.71x = 1,206.12 × 638.25
  4. Step 4: Simplify right side
    874.71x = 769,806.09
  5. Step 5: Solve for x
    x = 769,806.09/874.71
  6. Step 6: Final answer
    x = 880.07

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Double scale
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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.