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Finding the Fourth Proportional to 1,287.88, 1,932.90 and 558.01

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Solution

The fourth proportional to 1,287.88, 1,932.90 and 558.01 is: 837.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,287.88 : 1,932.90 = 558.01 : x
  2. Step 2: Convert to fraction form
    1,287.88/1,932.90 = 558.01/x
  3. Step 3: Cross multiply
    1,287.88x = 1,932.90 × 558.01
  4. Step 4: Simplify right side
    1,287.88x = 1,078,577.53
  5. Step 5: Solve for x
    x = 1,078,577.53/1,287.88
  6. Step 6: Final answer
    x = 837.48

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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.