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Finding the Fourth Proportional to 970.83, 1,456.34 and 789.75

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Solution

The fourth proportional to 970.83, 1,456.34 and 789.75 is: 1,184.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.83 : 1,456.34 = 789.75 : x
  2. Step 2: Convert to fraction form
    970.83/1,456.34 = 789.75/x
  3. Step 3: Cross multiply
    970.83x = 1,456.34 × 789.75
  4. Step 4: Simplify right side
    970.83x = 1,150,140.57
  5. Step 5: Solve for x
    x = 1,150,140.57/970.83
  6. Step 6: Final answer
    x = 1,184.70

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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.