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Finding the Fourth Proportional to 964.71, 1,331.64 and 592.31

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Solution

The fourth proportional to 964.71, 1,331.64 and 592.31 is: 817.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.71 : 1,331.64 = 592.31 : x
  2. Step 2: Convert to fraction form
    964.71/1,331.64 = 592.31/x
  3. Step 3: Cross multiply
    964.71x = 1,331.64 × 592.31
  4. Step 4: Simplify right side
    964.71x = 788,747.02
  5. Step 5: Solve for x
    x = 788,747.02/964.71
  6. Step 6: Final answer
    x = 817.60

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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.