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Finding the Fourth Proportional to 970.14, 1,456.83 and 825.15

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Solution

The fourth proportional to 970.14, 1,456.83 and 825.15 is: 1,239.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.14 : 1,456.83 = 825.15 : x
  2. Step 2: Convert to fraction form
    970.14/1,456.83 = 825.15/x
  3. Step 3: Cross multiply
    970.14x = 1,456.83 × 825.15
  4. Step 4: Simplify right side
    970.14x = 1,202,103.27
  5. Step 5: Solve for x
    x = 1,202,103.27/970.14
  6. Step 6: Final answer
    x = 1,239.10

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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.