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Finding the Fourth Proportional to 1,072.42, 1,604.97 and 899.28

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Solution

The fourth proportional to 1,072.42, 1,604.97 and 899.28 is: 1,345.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,072.42 : 1,604.97 = 899.28 : x
  2. Step 2: Convert to fraction form
    1,072.42/1,604.97 = 899.28/x
  3. Step 3: Cross multiply
    1,072.42x = 1,604.97 × 899.28
  4. Step 4: Simplify right side
    1,072.42x = 1,443,313.41
  5. Step 5: Solve for x
    x = 1,443,313.41/1,072.42
  6. Step 6: Final answer
    x = 1,345.85

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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.