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Finding the Fourth Proportional to 777.69, 1,072.75 and 497.82

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Solution

The fourth proportional to 777.69, 1,072.75 and 497.82 is: 686.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.69 : 1,072.75 = 497.82 : x
  2. Step 2: Convert to fraction form
    777.69/1,072.75 = 497.82/x
  3. Step 3: Cross multiply
    777.69x = 1,072.75 × 497.82
  4. Step 4: Simplify right side
    777.69x = 534,031.14
  5. Step 5: Solve for x
    x = 534,031.14/777.69
  6. Step 6: Final answer
    x = 686.69

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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.