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Finding the Fourth Proportional to 964.40, 1,330.88 and 522.31

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Solution

The fourth proportional to 964.40, 1,330.88 and 522.31 is: 720.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.40 : 1,330.88 = 522.31 : x
  2. Step 2: Convert to fraction form
    964.40/1,330.88 = 522.31/x
  3. Step 3: Cross multiply
    964.40x = 1,330.88 × 522.31
  4. Step 4: Simplify right side
    964.40x = 695,129.91
  5. Step 5: Solve for x
    x = 695,129.91/964.40
  6. Step 6: Final answer
    x = 720.79

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