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Finding the Fourth Proportional to 793.87, 1,095.65 and 499.16

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Solution

The fourth proportional to 793.87, 1,095.65 and 499.16 is: 688.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    793.87 : 1,095.65 = 499.16 : x
  2. Step 2: Convert to fraction form
    793.87/1,095.65 = 499.16/x
  3. Step 3: Cross multiply
    793.87x = 1,095.65 × 499.16
  4. Step 4: Simplify right side
    793.87x = 546,904.65
  5. Step 5: Solve for x
    x = 546,904.65/793.87
  6. Step 6: Final answer
    x = 688.91

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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.