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Finding the Fourth Proportional to 1,119.14, 1,678.19 and 599.03

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Solution

The fourth proportional to 1,119.14, 1,678.19 and 599.03 is: 898.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,119.14 : 1,678.19 = 599.03 : x
  2. Step 2: Convert to fraction form
    1,119.14/1,678.19 = 599.03/x
  3. Step 3: Cross multiply
    1,119.14x = 1,678.19 × 599.03
  4. Step 4: Simplify right side
    1,119.14x = 1,005,274.77
  5. Step 5: Solve for x
    x = 1,005,274.77/1,119.14
  6. Step 6: Final answer
    x = 898.26

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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.