Home / 1,524.70-2,288.14-702.46

Finding the Fourth Proportional to 1,524.70, 2,288.14 and 702.46

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Solution

The fourth proportional to 1,524.70, 2,288.14 and 702.46 is: 1,054.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,524.70 : 2,288.14 = 702.46 : x
  2. Step 2: Convert to fraction form
    1,524.70/2,288.14 = 702.46/x
  3. Step 3: Cross multiply
    1,524.70x = 2,288.14 × 702.46
  4. Step 4: Simplify right side
    1,524.70x = 1,607,326.82
  5. Step 5: Solve for x
    x = 1,607,326.82/1,524.70
  6. Step 6: Final answer
    x = 1,054.19

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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.