Home / 1,145.12-1,580.40-702.86

Finding the Fourth Proportional to 1,145.12, 1,580.40 and 702.86

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Solution

The fourth proportional to 1,145.12, 1,580.40 and 702.86 is: 970.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,145.12 : 1,580.40 = 702.86 : x
  2. Step 2: Convert to fraction form
    1,145.12/1,580.40 = 702.86/x
  3. Step 3: Cross multiply
    1,145.12x = 1,580.40 × 702.86
  4. Step 4: Simplify right side
    1,145.12x = 1,110,799.94
  5. Step 5: Solve for x
    x = 1,110,799.94/1,145.12
  6. Step 6: Final answer
    x = 970.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.