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Finding the Fourth Proportional to 766.36, 1,149.36 and 584.02

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Solution

The fourth proportional to 766.36, 1,149.36 and 584.02 is: 875.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.36 : 1,149.36 = 584.02 : x
  2. Step 2: Convert to fraction form
    766.36/1,149.36 = 584.02/x
  3. Step 3: Cross multiply
    766.36x = 1,149.36 × 584.02
  4. Step 4: Simplify right side
    766.36x = 671,249.23
  5. Step 5: Solve for x
    x = 671,249.23/766.36
  6. Step 6: Final answer
    x = 875.89

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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.