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Finding the Fourth Proportional to 763.36, 1,139.87 and 599.20

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Solution

The fourth proportional to 763.36, 1,139.87 and 599.20 is: 894.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    763.36 : 1,139.87 = 599.20 : x
  2. Step 2: Convert to fraction form
    763.36/1,139.87 = 599.20/x
  3. Step 3: Cross multiply
    763.36x = 1,139.87 × 599.20
  4. Step 4: Simplify right side
    763.36x = 683,010.10
  5. Step 5: Solve for x
    x = 683,010.10/763.36
  6. Step 6: Final answer
    x = 894.74

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.