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Finding the Fourth Proportional to 701.20, 1,050.86 and 538.08

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Solution

The fourth proportional to 701.20, 1,050.86 and 538.08 is: 806.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.20 : 1,050.86 = 538.08 : x
  2. Step 2: Convert to fraction form
    701.20/1,050.86 = 538.08/x
  3. Step 3: Cross multiply
    701.20x = 1,050.86 × 538.08
  4. Step 4: Simplify right side
    701.20x = 565,444.06
  5. Step 5: Solve for x
    x = 565,444.06/701.20
  6. Step 6: Final answer
    x = 806.40

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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.