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Finding the Fourth Proportional to 1,119.03, 1,677.61 and 533.71

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Solution

The fourth proportional to 1,119.03, 1,677.61 and 533.71 is: 800.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,119.03 : 1,677.61 = 533.71 : x
  2. Step 2: Convert to fraction form
    1,119.03/1,677.61 = 533.71/x
  3. Step 3: Cross multiply
    1,119.03x = 1,677.61 × 533.71
  4. Step 4: Simplify right side
    1,119.03x = 895,357.23
  5. Step 5: Solve for x
    x = 895,357.23/1,119.03
  6. Step 6: Final answer
    x = 800.12

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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.