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Finding the Fourth Proportional to 775.52, 1,069.74 and 598.52

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Solution

The fourth proportional to 775.52, 1,069.74 and 598.52 is: 825.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.52 : 1,069.74 = 598.52 : x
  2. Step 2: Convert to fraction form
    775.52/1,069.74 = 598.52/x
  3. Step 3: Cross multiply
    775.52x = 1,069.74 × 598.52
  4. Step 4: Simplify right side
    775.52x = 640,260.78
  5. Step 5: Solve for x
    x = 640,260.78/775.52
  6. Step 6: Final answer
    x = 825.59

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1.5x scale

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.