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Finding the Fourth Proportional to 1,069.62, 1,602.24 and 739.74

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Solution

The fourth proportional to 1,069.62, 1,602.24 and 739.74 is: 1,108.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,069.62 : 1,602.24 = 739.74 : x
  2. Step 2: Convert to fraction form
    1,069.62/1,602.24 = 739.74/x
  3. Step 3: Cross multiply
    1,069.62x = 1,602.24 × 739.74
  4. Step 4: Simplify right side
    1,069.62x = 1,185,241.02
  5. Step 5: Solve for x
    x = 1,185,241.02/1,069.62
  6. Step 6: Final answer
    x = 1,108.10

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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.