Home / 1,524.32-2,285.76-702.35

Finding the Fourth Proportional to 1,524.32, 2,285.76 and 702.35

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Solution

The fourth proportional to 1,524.32, 2,285.76 and 702.35 is: 1,053.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,524.32 : 2,285.76 = 702.35 : x
  2. Step 2: Convert to fraction form
    1,524.32/2,285.76 = 702.35/x
  3. Step 3: Cross multiply
    1,524.32x = 2,285.76 × 702.35
  4. Step 4: Simplify right side
    1,524.32x = 1,605,411.01
  5. Step 5: Solve for x
    x = 1,605,411.01/1,524.32
  6. Step 6: Final answer
    x = 1,053.20

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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.