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Finding the Fourth Proportional to 1,442.79, 2,164.10 and 402.85

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Solution

The fourth proportional to 1,442.79, 2,164.10 and 402.85 is: 604.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,442.79 : 2,164.10 = 402.85 : x
  2. Step 2: Convert to fraction form
    1,442.79/2,164.10 = 402.85/x
  3. Step 3: Cross multiply
    1,442.79x = 2,164.10 × 402.85
  4. Step 4: Simplify right side
    1,442.79x = 871,809.89
  5. Step 5: Solve for x
    x = 871,809.89/1,442.79
  6. Step 6: Final answer
    x = 604.25

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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.