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Finding the Fourth Proportional to 964.72, 1,330.50 and 831.16

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Solution

The fourth proportional to 964.72, 1,330.50 and 831.16 is: 1,146.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.72 : 1,330.50 = 831.16 : x
  2. Step 2: Convert to fraction form
    964.72/1,330.50 = 831.16/x
  3. Step 3: Cross multiply
    964.72x = 1,330.50 × 831.16
  4. Step 4: Simplify right side
    964.72x = 1,105,858.38
  5. Step 5: Solve for x
    x = 1,105,858.38/964.72
  6. Step 6: Final answer
    x = 1,146.30

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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.