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Finding the Fourth Proportional to 699.20, 962.40 and 491.84

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Solution

The fourth proportional to 699.20, 962.40 and 491.84 is: 676.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.20 : 962.40 = 491.84 : x
  2. Step 2: Convert to fraction form
    699.20/962.40 = 491.84/x
  3. Step 3: Cross multiply
    699.20x = 962.40 × 491.84
  4. Step 4: Simplify right side
    699.20x = 473,346.82
  5. Step 5: Solve for x
    x = 473,346.82/699.20
  6. Step 6: Final answer
    x = 676.98

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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.