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Finding the Fourth Proportional to 949.93, 1,425.05 and 402.12

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Solution

The fourth proportional to 949.93, 1,425.05 and 402.12 is: 603.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.93 : 1,425.05 = 402.12 : x
  2. Step 2: Convert to fraction form
    949.93/1,425.05 = 402.12/x
  3. Step 3: Cross multiply
    949.93x = 1,425.05 × 402.12
  4. Step 4: Simplify right side
    949.93x = 573,041.11
  5. Step 5: Solve for x
    x = 573,041.11/949.93
  6. Step 6: Final answer
    x = 603.25

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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.