Home / 1,188.76-1,786.50-702.04

Finding the Fourth Proportional to 1,188.76, 1,786.50 and 702.04

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Solution

The fourth proportional to 1,188.76, 1,786.50 and 702.04 is: 1,055.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,188.76 : 1,786.50 = 702.04 : x
  2. Step 2: Convert to fraction form
    1,188.76/1,786.50 = 702.04/x
  3. Step 3: Cross multiply
    1,188.76x = 1,786.50 × 702.04
  4. Step 4: Simplify right side
    1,188.76x = 1,254,194.46
  5. Step 5: Solve for x
    x = 1,254,194.46/1,188.76
  6. Step 6: Final answer
    x = 1,055.04

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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.