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Finding the Fourth Proportional to 763.88, 1,149.97 and 684.50

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Solution

The fourth proportional to 763.88, 1,149.97 and 684.50 is: 1,030.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    763.88 : 1,149.97 = 684.50 : x
  2. Step 2: Convert to fraction form
    763.88/1,149.97 = 684.50/x
  3. Step 3: Cross multiply
    763.88x = 1,149.97 × 684.50
  4. Step 4: Simplify right side
    763.88x = 787,151.04
  5. Step 5: Solve for x
    x = 787,151.04/763.88
  6. Step 6: Final answer
    x = 1,030.46

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.