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Finding the Fourth Proportional to 964.64, 1,330.64 and 596

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Solution

The fourth proportional to 964.64, 1,330.64 and 596 is: 822.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.64 : 1,330.64 = 596 : x
  2. Step 2: Convert to fraction form
    964.64/1,330.64 = 596/x
  3. Step 3: Cross multiply
    964.64x = 1,330.64 × 596
  4. Step 4: Simplify right side
    964.64x = 793,061.44
  5. Step 5: Solve for x
    x = 793,061.44/964.64
  6. Step 6: Final answer
    x = 822.13

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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.