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Finding the Fourth Proportional to 778.16, 1,073.73 and 498.65

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Solution

The fourth proportional to 778.16, 1,073.73 and 498.65 is: 688.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.16 : 1,073.73 = 498.65 : x
  2. Step 2: Convert to fraction form
    778.16/1,073.73 = 498.65/x
  3. Step 3: Cross multiply
    778.16x = 1,073.73 × 498.65
  4. Step 4: Simplify right side
    778.16x = 535,410.10
  5. Step 5: Solve for x
    x = 535,410.10/778.16
  6. Step 6: Final answer
    x = 688.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.