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Finding the Fourth Proportional to 831.48, 1,146.78 and 582.72

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Solution

The fourth proportional to 831.48, 1,146.78 and 582.72 is: 803.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.48 : 1,146.78 = 582.72 : x
  2. Step 2: Convert to fraction form
    831.48/1,146.78 = 582.72/x
  3. Step 3: Cross multiply
    831.48x = 1,146.78 × 582.72
  4. Step 4: Simplify right side
    831.48x = 668,251.64
  5. Step 5: Solve for x
    x = 668,251.64/831.48
  6. Step 6: Final answer
    x = 803.69

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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.