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Finding the Fourth Proportional to 1,069.68, 1,602.66 and 483.75

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Solution

The fourth proportional to 1,069.68, 1,602.66 and 483.75 is: 724.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,069.68 : 1,602.66 = 483.75 : x
  2. Step 2: Convert to fraction form
    1,069.68/1,602.66 = 483.75/x
  3. Step 3: Cross multiply
    1,069.68x = 1,602.66 × 483.75
  4. Step 4: Simplify right side
    1,069.68x = 775,286.78
  5. Step 5: Solve for x
    x = 775,286.78/1,069.68
  6. Step 6: Final answer
    x = 724.78

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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.