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Finding the Fourth Proportional to 970.52, 1,338.54 and 823.64

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Solution

The fourth proportional to 970.52, 1,338.54 and 823.64 is: 1,135.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.52 : 1,338.54 = 823.64 : x
  2. Step 2: Convert to fraction form
    970.52/1,338.54 = 823.64/x
  3. Step 3: Cross multiply
    970.52x = 1,338.54 × 823.64
  4. Step 4: Simplify right side
    970.52x = 1,102,475.09
  5. Step 5: Solve for x
    x = 1,102,475.09/970.52
  6. Step 6: Final answer
    x = 1,135.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.