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Finding the Fourth Proportional to 1,483.64, 2,223.97 and 963.98

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Solution

The fourth proportional to 1,483.64, 2,223.97 and 963.98 is: 1,445.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,483.64 : 2,223.97 = 963.98 : x
  2. Step 2: Convert to fraction form
    1,483.64/2,223.97 = 963.98/x
  3. Step 3: Cross multiply
    1,483.64x = 2,223.97 × 963.98
  4. Step 4: Simplify right side
    1,483.64x = 2,143,862.60
  5. Step 5: Solve for x
    x = 2,143,862.60/1,483.64
  6. Step 6: Final answer
    x = 1,445.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.