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Finding the Fourth Proportional to 1,442.88, 2,164.04 and 402.64

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Solution

The fourth proportional to 1,442.88, 2,164.04 and 402.64 is: 603.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,442.88 : 2,164.04 = 402.64 : x
  2. Step 2: Convert to fraction form
    1,442.88/2,164.04 = 402.64/x
  3. Step 3: Cross multiply
    1,442.88x = 2,164.04 × 402.64
  4. Step 4: Simplify right side
    1,442.88x = 871,329.07
  5. Step 5: Solve for x
    x = 871,329.07/1,442.88
  6. Step 6: Final answer
    x = 603.88

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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.