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Finding the Fourth Proportional to 1,164, 1,606.48 and 853.92

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Solution

The fourth proportional to 1,164, 1,606.48 and 853.92 is: 1,178.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164 : 1,606.48 = 853.92 : x
  2. Step 2: Convert to fraction form
    1,164/1,606.48 = 853.92/x
  3. Step 3: Cross multiply
    1,164x = 1,606.48 × 853.92
  4. Step 4: Simplify right side
    1,164x = 1,371,805.40
  5. Step 5: Solve for x
    x = 1,371,805.40/1,164
  6. Step 6: Final answer
    x = 1,178.53

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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.