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Finding the Fourth Proportional to 776.67, 1,072.04 and 497.07

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Solution

The fourth proportional to 776.67, 1,072.04 and 497.07 is: 686.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.67 : 1,072.04 = 497.07 : x
  2. Step 2: Convert to fraction form
    776.67/1,072.04 = 497.07/x
  3. Step 3: Cross multiply
    776.67x = 1,072.04 × 497.07
  4. Step 4: Simplify right side
    776.67x = 532,876.44
  5. Step 5: Solve for x
    x = 532,876.44/776.67
  6. Step 6: Final answer
    x = 686.10

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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.