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Finding the Fourth Proportional to 900.42, 1,350.88 and 764.44

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Solution

The fourth proportional to 900.42, 1,350.88 and 764.44 is: 1,146.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    900.42 : 1,350.88 = 764.44 : x
  2. Step 2: Convert to fraction form
    900.42/1,350.88 = 764.44/x
  3. Step 3: Cross multiply
    900.42x = 1,350.88 × 764.44
  4. Step 4: Simplify right side
    900.42x = 1,032,666.71
  5. Step 5: Solve for x
    x = 1,032,666.71/900.42
  6. Step 6: Final answer
    x = 1,146.87

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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.