Home / 1,138.30-1,707.45-981.70

Finding the Fourth Proportional to 1,138.30, 1,707.45 and 981.70

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Solution

The fourth proportional to 1,138.30, 1,707.45 and 981.70 is: 1,472.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,138.30 : 1,707.45 = 981.70 : x
  2. Step 2: Convert to fraction form
    1,138.30/1,707.45 = 981.70/x
  3. Step 3: Cross multiply
    1,138.30x = 1,707.45 × 981.70
  4. Step 4: Simplify right side
    1,138.30x = 1,676,203.67
  5. Step 5: Solve for x
    x = 1,676,203.67/1,138.30
  6. Step 6: Final answer
    x = 1,472.55

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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.