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Finding the Fourth Proportional to 970.60, 1,456.80 and 833.80

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Solution

The fourth proportional to 970.60, 1,456.80 and 833.80 is: 1,251.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.60 : 1,456.80 = 833.80 : x
  2. Step 2: Convert to fraction form
    970.60/1,456.80 = 833.80/x
  3. Step 3: Cross multiply
    970.60x = 1,456.80 × 833.80
  4. Step 4: Simplify right side
    970.60x = 1,214,679.84
  5. Step 5: Solve for x
    x = 1,214,679.84/970.60
  6. Step 6: Final answer
    x = 1,251.47

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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.