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Finding the Fourth Proportional to 964.74, 1,332.32 and 831.69

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Solution

The fourth proportional to 964.74, 1,332.32 and 831.69 is: 1,148.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.74 : 1,332.32 = 831.69 : x
  2. Step 2: Convert to fraction form
    964.74/1,332.32 = 831.69/x
  3. Step 3: Cross multiply
    964.74x = 1,332.32 × 831.69
  4. Step 4: Simplify right side
    964.74x = 1,108,073.06
  5. Step 5: Solve for x
    x = 1,108,073.06/964.74
  6. Step 6: Final answer
    x = 1,148.57

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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.