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Finding the Fourth Proportional to 900.88, 1,344.43 and 803.68

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Solution

The fourth proportional to 900.88, 1,344.43 and 803.68 is: 1,199.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    900.88 : 1,344.43 = 803.68 : x
  2. Step 2: Convert to fraction form
    900.88/1,344.43 = 803.68/x
  3. Step 3: Cross multiply
    900.88x = 1,344.43 × 803.68
  4. Step 4: Simplify right side
    900.88x = 1,080,491.50
  5. Step 5: Solve for x
    x = 1,080,491.50/900.88
  6. Step 6: Final answer
    x = 1,199.37

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.