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Finding the Fourth Proportional to 831.10, 1,241.39 and 646.57

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Solution

The fourth proportional to 831.10, 1,241.39 and 646.57 is: 965.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.10 : 1,241.39 = 646.57 : x
  2. Step 2: Convert to fraction form
    831.10/1,241.39 = 646.57/x
  3. Step 3: Cross multiply
    831.10x = 1,241.39 × 646.57
  4. Step 4: Simplify right side
    831.10x = 802,652.19
  5. Step 5: Solve for x
    x = 802,652.19/831.10
  6. Step 6: Final answer
    x = 965.77

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.