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Finding the Fourth Proportional to 874.92, 1,207.59 and 496.89

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Solution

The fourth proportional to 874.92, 1,207.59 and 496.89 is: 685.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.92 : 1,207.59 = 496.89 : x
  2. Step 2: Convert to fraction form
    874.92/1,207.59 = 496.89/x
  3. Step 3: Cross multiply
    874.92x = 1,207.59 × 496.89
  4. Step 4: Simplify right side
    874.92x = 600,039.40
  5. Step 5: Solve for x
    x = 600,039.40/874.92
  6. Step 6: Final answer
    x = 685.82

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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.