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Finding the Fourth Proportional to 793.40, 1,094.54 and 498.84

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Solution

The fourth proportional to 793.40, 1,094.54 and 498.84 is: 688.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    793.40 : 1,094.54 = 498.84 : x
  2. Step 2: Convert to fraction form
    793.40/1,094.54 = 498.84/x
  3. Step 3: Cross multiply
    793.40x = 1,094.54 × 498.84
  4. Step 4: Simplify right side
    793.40x = 546,000.33
  5. Step 5: Solve for x
    x = 546,000.33/793.40
  6. Step 6: Final answer
    x = 688.18

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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.