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Finding the Fourth Proportional to 1,421.43, 2,132.44 and 599.71

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Solution

The fourth proportional to 1,421.43, 2,132.44 and 599.71 is: 899.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,421.43 : 2,132.44 = 599.71 : x
  2. Step 2: Convert to fraction form
    1,421.43/2,132.44 = 599.71/x
  3. Step 3: Cross multiply
    1,421.43x = 2,132.44 × 599.71
  4. Step 4: Simplify right side
    1,421.43x = 1,278,838.76
  5. Step 5: Solve for x
    x = 1,278,838.76/1,421.43
  6. Step 6: Final answer
    x = 899.68

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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.