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Finding the Fourth Proportional to 713.60, 985.12 and 480.96

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Solution

The fourth proportional to 713.60, 985.12 and 480.96 is: 663.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.60 : 985.12 = 480.96 : x
  2. Step 2: Convert to fraction form
    713.60/985.12 = 480.96/x
  3. Step 3: Cross multiply
    713.60x = 985.12 × 480.96
  4. Step 4: Simplify right side
    713.60x = 473,803.32
  5. Step 5: Solve for x
    x = 473,803.32/713.60
  6. Step 6: Final answer
    x = 663.96

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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.