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Finding the Fourth Proportional to 1,069.10, 1,602.28 and 483.47

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Solution

The fourth proportional to 1,069.10, 1,602.28 and 483.47 is: 724.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,069.10 : 1,602.28 = 483.47 : x
  2. Step 2: Convert to fraction form
    1,069.10/1,602.28 = 483.47/x
  3. Step 3: Cross multiply
    1,069.10x = 1,602.28 × 483.47
  4. Step 4: Simplify right side
    1,069.10x = 774,654.31
  5. Step 5: Solve for x
    x = 774,654.31/1,069.10
  6. Step 6: Final answer
    x = 724.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.