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Finding the Fourth Proportional to 1,429.02, 1,972.38 and 963

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Solution

The fourth proportional to 1,429.02, 1,972.38 and 963 is: 1,329.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,429.02 : 1,972.38 = 963 : x
  2. Step 2: Convert to fraction form
    1,429.02/1,972.38 = 963/x
  3. Step 3: Cross multiply
    1,429.02x = 1,972.38 × 963
  4. Step 4: Simplify right side
    1,429.02x = 1,899,401.94
  5. Step 5: Solve for x
    x = 1,899,401.94/1,429.02
  6. Step 6: Final answer
    x = 1,329.16

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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.