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Finding the Fourth Proportional to 701.10, 1,010.88 and 701.10

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Solution

The fourth proportional to 701.10, 1,010.88 and 701.10 is: 1,010.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.10 : 1,010.88 = 701.10 : x
  2. Step 2: Convert to fraction form
    701.10/1,010.88 = 701.10/x
  3. Step 3: Cross multiply
    701.10x = 1,010.88 × 701.10
  4. Step 4: Simplify right side
    701.10x = 708,727.97
  5. Step 5: Solve for x
    x = 708,727.97/701.10
  6. Step 6: Final answer
    x = 1,010.88

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.