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Finding the Fourth Proportional to 720.48, 994.38 and 535.20

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Solution

The fourth proportional to 720.48, 994.38 and 535.20 is: 738.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    720.48 : 994.38 = 535.20 : x
  2. Step 2: Convert to fraction form
    720.48/994.38 = 535.20/x
  3. Step 3: Cross multiply
    720.48x = 994.38 × 535.20
  4. Step 4: Simplify right side
    720.48x = 532,192.18
  5. Step 5: Solve for x
    x = 532,192.18/720.48
  6. Step 6: Final answer
    x = 738.66

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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.