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Finding the Fourth Proportional to 746.83, 1,119.18 and 584.33

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Solution

The fourth proportional to 746.83, 1,119.18 and 584.33 is: 875.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.83 : 1,119.18 = 584.33 : x
  2. Step 2: Convert to fraction form
    746.83/1,119.18 = 584.33/x
  3. Step 3: Cross multiply
    746.83x = 1,119.18 × 584.33
  4. Step 4: Simplify right side
    746.83x = 653,967.04
  5. Step 5: Solve for x
    x = 653,967.04/746.83
  6. Step 6: Final answer
    x = 875.66

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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.