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Finding the Fourth Proportional to 1,208.34, 1,665.84 and 942

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Solution

The fourth proportional to 1,208.34, 1,665.84 and 942 is: 1,298.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,208.34 : 1,665.84 = 942 : x
  2. Step 2: Convert to fraction form
    1,208.34/1,665.84 = 942/x
  3. Step 3: Cross multiply
    1,208.34x = 1,665.84 × 942
  4. Step 4: Simplify right side
    1,208.34x = 1,569,221.28
  5. Step 5: Solve for x
    x = 1,569,221.28/1,208.34
  6. Step 6: Final answer
    x = 1,298.66

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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.