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Finding the Fourth Proportional to 794.06, 1,095.33 and 498.81

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Solution

The fourth proportional to 794.06, 1,095.33 and 498.81 is: 688.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.06 : 1,095.33 = 498.81 : x
  2. Step 2: Convert to fraction form
    794.06/1,095.33 = 498.81/x
  3. Step 3: Cross multiply
    794.06x = 1,095.33 × 498.81
  4. Step 4: Simplify right side
    794.06x = 546,367.54
  5. Step 5: Solve for x
    x = 546,367.54/794.06
  6. Step 6: Final answer
    x = 688.07

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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.