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Finding the Fourth Proportional to 1,225, 1,691.94 and 831.34

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Solution

The fourth proportional to 1,225, 1,691.94 and 831.34 is: 1,148.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,225 : 1,691.94 = 831.34 : x
  2. Step 2: Convert to fraction form
    1,225/1,691.94 = 831.34/x
  3. Step 3: Cross multiply
    1,225x = 1,691.94 × 831.34
  4. Step 4: Simplify right side
    1,225x = 1,406,577.40
  5. Step 5: Solve for x
    x = 1,406,577.40/1,225
  6. Step 6: Final answer
    x = 1,148.23

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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.