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Finding the Fourth Proportional to 720, 1,079.88 and 281.46

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Solution

The fourth proportional to 720, 1,079.88 and 281.46 is: 422.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    720 : 1,079.88 = 281.46 : x
  2. Step 2: Convert to fraction form
    720/1,079.88 = 281.46/x
  3. Step 3: Cross multiply
    720x = 1,079.88 × 281.46
  4. Step 4: Simplify right side
    720x = 303,943.02
  5. Step 5: Solve for x
    x = 303,943.02/720
  6. Step 6: Final answer
    x = 422.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.