Home / 1,120.24-1,680.30-535.66

Finding the Fourth Proportional to 1,120.24, 1,680.30 and 535.66

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Solution

The fourth proportional to 1,120.24, 1,680.30 and 535.66 is: 803.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,120.24 : 1,680.30 = 535.66 : x
  2. Step 2: Convert to fraction form
    1,120.24/1,680.30 = 535.66/x
  3. Step 3: Cross multiply
    1,120.24x = 1,680.30 × 535.66
  4. Step 4: Simplify right side
    1,120.24x = 900,069.50
  5. Step 5: Solve for x
    x = 900,069.50/1,120.24
  6. Step 6: Final answer
    x = 803.46

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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.