Home / 1,028.07-1,541.25-702.99

Finding the Fourth Proportional to 1,028.07, 1,541.25 and 702.99

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Solution

The fourth proportional to 1,028.07, 1,541.25 and 702.99 is: 1,053.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028.07 : 1,541.25 = 702.99 : x
  2. Step 2: Convert to fraction form
    1,028.07/1,541.25 = 702.99/x
  3. Step 3: Cross multiply
    1,028.07x = 1,541.25 × 702.99
  4. Step 4: Simplify right side
    1,028.07x = 1,083,483.34
  5. Step 5: Solve for x
    x = 1,083,483.34/1,028.07
  6. Step 6: Final answer
    x = 1,053.90

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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.