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Finding the Fourth Proportional to 1,159.80, 1,740.82 and 831.12

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Solution

The fourth proportional to 1,159.80, 1,740.82 and 831.12 is: 1,247.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,159.80 : 1,740.82 = 831.12 : x
  2. Step 2: Convert to fraction form
    1,159.80/1,740.82 = 831.12/x
  3. Step 3: Cross multiply
    1,159.80x = 1,740.82 × 831.12
  4. Step 4: Simplify right side
    1,159.80x = 1,446,830.32
  5. Step 5: Solve for x
    x = 1,446,830.32/1,159.80
  6. Step 6: Final answer
    x = 1,247.48

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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.