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Finding the Fourth Proportional to 963.33, 1,329.40 and 521.24

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Solution

The fourth proportional to 963.33, 1,329.40 and 521.24 is: 719.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    963.33 : 1,329.40 = 521.24 : x
  2. Step 2: Convert to fraction form
    963.33/1,329.40 = 521.24/x
  3. Step 3: Cross multiply
    963.33x = 1,329.40 × 521.24
  4. Step 4: Simplify right side
    963.33x = 692,935.01
  5. Step 5: Solve for x
    x = 692,935.01/963.33
  6. Step 6: Final answer
    x = 719.31

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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.