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Finding the Fourth Proportional to 952.64, 1,427.04 and 831.04

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Solution

The fourth proportional to 952.64, 1,427.04 and 831.04 is: 1,244.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    952.64 : 1,427.04 = 831.04 : x
  2. Step 2: Convert to fraction form
    952.64/1,427.04 = 831.04/x
  3. Step 3: Cross multiply
    952.64x = 1,427.04 × 831.04
  4. Step 4: Simplify right side
    952.64x = 1,185,927.32
  5. Step 5: Solve for x
    x = 1,185,927.32/952.64
  6. Step 6: Final answer
    x = 1,244.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.