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Finding the Fourth Proportional to 860.75, 1,291.17 and 373.83

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Solution

The fourth proportional to 860.75, 1,291.17 and 373.83 is: 560.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    860.75 : 1,291.17 = 373.83 : x
  2. Step 2: Convert to fraction form
    860.75/1,291.17 = 373.83/x
  3. Step 3: Cross multiply
    860.75x = 1,291.17 × 373.83
  4. Step 4: Simplify right side
    860.75x = 482,678.08
  5. Step 5: Solve for x
    x = 482,678.08/860.75
  6. Step 6: Final answer
    x = 560.77

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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.