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Finding the Fourth Proportional to 701.10, 1,050.24 and 650.52

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Solution

The fourth proportional to 701.10, 1,050.24 and 650.52 is: 974.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.10 : 1,050.24 = 650.52 : x
  2. Step 2: Convert to fraction form
    701.10/1,050.24 = 650.52/x
  3. Step 3: Cross multiply
    701.10x = 1,050.24 × 650.52
  4. Step 4: Simplify right side
    701.10x = 683,202.12
  5. Step 5: Solve for x
    x = 683,202.12/701.10
  6. Step 6: Final answer
    x = 974.47

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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.