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Finding the Fourth Proportional to 1,120.66, 1,681.02 and 535.73

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Solution

The fourth proportional to 1,120.66, 1,681.02 and 535.73 is: 803.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,120.66 : 1,681.02 = 535.73 : x
  2. Step 2: Convert to fraction form
    1,120.66/1,681.02 = 535.73/x
  3. Step 3: Cross multiply
    1,120.66x = 1,681.02 × 535.73
  4. Step 4: Simplify right side
    1,120.66x = 900,572.84
  5. Step 5: Solve for x
    x = 900,572.84/1,120.66
  6. Step 6: Final answer
    x = 803.61

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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.