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Finding the Fourth Proportional to 677.91, 1,017.47 and 517.59

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Solution

The fourth proportional to 677.91, 1,017.47 and 517.59 is: 776.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.91 : 1,017.47 = 517.59 : x
  2. Step 2: Convert to fraction form
    677.91/1,017.47 = 517.59/x
  3. Step 3: Cross multiply
    677.91x = 1,017.47 × 517.59
  4. Step 4: Simplify right side
    677.91x = 526,629.71
  5. Step 5: Solve for x
    x = 526,629.71/677.91
  6. Step 6: Final answer
    x = 776.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.