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Finding the Fourth Proportional to 1,122.47, 1,682.07 and 633.02

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Solution

The fourth proportional to 1,122.47, 1,682.07 and 633.02 is: 948.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,122.47 : 1,682.07 = 633.02 : x
  2. Step 2: Convert to fraction form
    1,122.47/1,682.07 = 633.02/x
  3. Step 3: Cross multiply
    1,122.47x = 1,682.07 × 633.02
  4. Step 4: Simplify right side
    1,122.47x = 1,064,783.95
  5. Step 5: Solve for x
    x = 1,064,783.95/1,122.47
  6. Step 6: Final answer
    x = 948.61

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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.