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Finding the Fourth Proportional to 788.92, 1,184.16 and 500.56

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Solution

The fourth proportional to 788.92, 1,184.16 and 500.56 is: 751.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.92 : 1,184.16 = 500.56 : x
  2. Step 2: Convert to fraction form
    788.92/1,184.16 = 500.56/x
  3. Step 3: Cross multiply
    788.92x = 1,184.16 × 500.56
  4. Step 4: Simplify right side
    788.92x = 592,743.13
  5. Step 5: Solve for x
    x = 592,743.13/788.92
  6. Step 6: Final answer
    x = 751.33

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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.