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Finding the Fourth Proportional to 776.93, 1,072.51 and 497.54

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Solution

The fourth proportional to 776.93, 1,072.51 and 497.54 is: 686.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.93 : 1,072.51 = 497.54 : x
  2. Step 2: Convert to fraction form
    776.93/1,072.51 = 497.54/x
  3. Step 3: Cross multiply
    776.93x = 1,072.51 × 497.54
  4. Step 4: Simplify right side
    776.93x = 533,618.06
  5. Step 5: Solve for x
    x = 533,618.06/776.93
  6. Step 6: Final answer
    x = 686.83

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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.