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Finding the Fourth Proportional to 900.14, 1,240.89 and 633.74

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Solution

The fourth proportional to 900.14, 1,240.89 and 633.74 is: 873.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    900.14 : 1,240.89 = 633.74 : x
  2. Step 2: Convert to fraction form
    900.14/1,240.89 = 633.74/x
  3. Step 3: Cross multiply
    900.14x = 1,240.89 × 633.74
  4. Step 4: Simplify right side
    900.14x = 786,401.63
  5. Step 5: Solve for x
    x = 786,401.63/900.14
  6. Step 6: Final answer
    x = 873.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.