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Finding the Fourth Proportional to 871.35, 1,202.48 and 478.39

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Solution

The fourth proportional to 871.35, 1,202.48 and 478.39 is: 660.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.35 : 1,202.48 = 478.39 : x
  2. Step 2: Convert to fraction form
    871.35/1,202.48 = 478.39/x
  3. Step 3: Cross multiply
    871.35x = 1,202.48 × 478.39
  4. Step 4: Simplify right side
    871.35x = 575,254.41
  5. Step 5: Solve for x
    x = 575,254.41/871.35
  6. Step 6: Final answer
    x = 660.19

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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.