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Finding the Fourth Proportional to 775.13, 1,069.70 and 425.84

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Solution

The fourth proportional to 775.13, 1,069.70 and 425.84 is: 587.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.13 : 1,069.70 = 425.84 : x
  2. Step 2: Convert to fraction form
    775.13/1,069.70 = 425.84/x
  3. Step 3: Cross multiply
    775.13x = 1,069.70 × 425.84
  4. Step 4: Simplify right side
    775.13x = 455,513.57
  5. Step 5: Solve for x
    x = 455,513.57/775.13
  6. Step 6: Final answer
    x = 587.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.