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Finding the Fourth Proportional to 878.76, 1,212.24 and 524.64

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Solution

The fourth proportional to 878.76, 1,212.24 and 524.64 is: 723.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    878.76 : 1,212.24 = 524.64 : x
  2. Step 2: Convert to fraction form
    878.76/1,212.24 = 524.64/x
  3. Step 3: Cross multiply
    878.76x = 1,212.24 × 524.64
  4. Step 4: Simplify right side
    878.76x = 635,989.59
  5. Step 5: Solve for x
    x = 635,989.59/878.76
  6. Step 6: Final answer
    x = 723.74

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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.