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Finding the Fourth Proportional to 676.80, 932.64 and 501.84

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Solution

The fourth proportional to 676.80, 932.64 and 501.84 is: 691.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.80 : 932.64 = 501.84 : x
  2. Step 2: Convert to fraction form
    676.80/932.64 = 501.84/x
  3. Step 3: Cross multiply
    676.80x = 932.64 × 501.84
  4. Step 4: Simplify right side
    676.80x = 468,036.06
  5. Step 5: Solve for x
    x = 468,036.06/676.80
  6. Step 6: Final answer
    x = 691.54

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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.