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Finding the Fourth Proportional to 1,165.17, 1,607.94 and 641.22

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Solution

The fourth proportional to 1,165.17, 1,607.94 and 641.22 is: 884.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165.17 : 1,607.94 = 641.22 : x
  2. Step 2: Convert to fraction form
    1,165.17/1,607.94 = 641.22/x
  3. Step 3: Cross multiply
    1,165.17x = 1,607.94 × 641.22
  4. Step 4: Simplify right side
    1,165.17x = 1,031,043.29
  5. Step 5: Solve for x
    x = 1,031,043.29/1,165.17
  6. Step 6: Final answer
    x = 884.89

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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.