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Finding the Fourth Proportional to 714.10, 1,070.13 and 280.75

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Solution

The fourth proportional to 714.10, 1,070.13 and 280.75 is: 420.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.10 : 1,070.13 = 280.75 : x
  2. Step 2: Convert to fraction form
    714.10/1,070.13 = 280.75/x
  3. Step 3: Cross multiply
    714.10x = 1,070.13 × 280.75
  4. Step 4: Simplify right side
    714.10x = 300,439.00
  5. Step 5: Solve for x
    x = 300,439.00/714.10
  6. Step 6: Final answer
    x = 420.72

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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.