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Finding the Fourth Proportional to 831.63, 1,147.84 and 566.22

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Solution

The fourth proportional to 831.63, 1,147.84 and 566.22 is: 781.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.63 : 1,147.84 = 566.22 : x
  2. Step 2: Convert to fraction form
    831.63/1,147.84 = 566.22/x
  3. Step 3: Cross multiply
    831.63x = 1,147.84 × 566.22
  4. Step 4: Simplify right side
    831.63x = 649,932.85
  5. Step 5: Solve for x
    x = 649,932.85/831.63
  6. Step 6: Final answer
    x = 781.51

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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.