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Finding the Fourth Proportional to 871.76, 1,203.02 and 478.76

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Solution

The fourth proportional to 871.76, 1,203.02 and 478.76 is: 660.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.76 : 1,203.02 = 478.76 : x
  2. Step 2: Convert to fraction form
    871.76/1,203.02 = 478.76/x
  3. Step 3: Cross multiply
    871.76x = 1,203.02 × 478.76
  4. Step 4: Simplify right side
    871.76x = 575,957.86
  5. Step 5: Solve for x
    x = 575,957.86/871.76
  6. Step 6: Final answer
    x = 660.68

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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.