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Finding the Fourth Proportional to 963.24, 1,329.93 and 614.40

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Solution

The fourth proportional to 963.24, 1,329.93 and 614.40 is: 848.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    963.24 : 1,329.93 = 614.40 : x
  2. Step 2: Convert to fraction form
    963.24/1,329.93 = 614.40/x
  3. Step 3: Cross multiply
    963.24x = 1,329.93 × 614.40
  4. Step 4: Simplify right side
    963.24x = 817,108.99
  5. Step 5: Solve for x
    x = 817,108.99/963.24
  6. Step 6: Final answer
    x = 848.29

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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.