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Finding the Fourth Proportional to 1,119.76, 1,677.91 and 599.83

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Solution

The fourth proportional to 1,119.76, 1,677.91 and 599.83 is: 898.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,119.76 : 1,677.91 = 599.83 : x
  2. Step 2: Convert to fraction form
    1,119.76/1,677.91 = 599.83/x
  3. Step 3: Cross multiply
    1,119.76x = 1,677.91 × 599.83
  4. Step 4: Simplify right side
    1,119.76x = 1,006,460.76
  5. Step 5: Solve for x
    x = 1,006,460.76/1,119.76
  6. Step 6: Final answer
    x = 898.82

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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.