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Finding the Fourth Proportional to 964.94, 1,331.19 and 571.88

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Solution

The fourth proportional to 964.94, 1,331.19 and 571.88 is: 788.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.94 : 1,331.19 = 571.88 : x
  2. Step 2: Convert to fraction form
    964.94/1,331.19 = 571.88/x
  3. Step 3: Cross multiply
    964.94x = 1,331.19 × 571.88
  4. Step 4: Simplify right side
    964.94x = 761,284.27
  5. Step 5: Solve for x
    x = 761,284.27/964.94
  6. Step 6: Final answer
    x = 788.95

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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.