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Finding the Fourth Proportional to 1,160.71, 1,742.10 and 831.94

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Solution

The fourth proportional to 1,160.71, 1,742.10 and 831.94 is: 1,248.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,160.71 : 1,742.10 = 831.94 : x
  2. Step 2: Convert to fraction form
    1,160.71/1,742.10 = 831.94/x
  3. Step 3: Cross multiply
    1,160.71x = 1,742.10 × 831.94
  4. Step 4: Simplify right side
    1,160.71x = 1,449,322.67
  5. Step 5: Solve for x
    x = 1,449,322.67/1,160.71
  6. Step 6: Final answer
    x = 1,248.65

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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.