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Finding the Fourth Proportional to 1,065.43, 1,598.42 and 415.95

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Solution

The fourth proportional to 1,065.43, 1,598.42 and 415.95 is: 624.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,065.43 : 1,598.42 = 415.95 : x
  2. Step 2: Convert to fraction form
    1,065.43/1,598.42 = 415.95/x
  3. Step 3: Cross multiply
    1,065.43x = 1,598.42 × 415.95
  4. Step 4: Simplify right side
    1,065.43x = 664,862.80
  5. Step 5: Solve for x
    x = 664,862.80/1,065.43
  6. Step 6: Final answer
    x = 624.03

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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.