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Finding the Fourth Proportional to 1,001.06, 1,381.38 and 608.12

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Solution

The fourth proportional to 1,001.06, 1,381.38 and 608.12 is: 839.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,001.06 : 1,381.38 = 608.12 : x
  2. Step 2: Convert to fraction form
    1,001.06/1,381.38 = 608.12/x
  3. Step 3: Cross multiply
    1,001.06x = 1,381.38 × 608.12
  4. Step 4: Simplify right side
    1,001.06x = 840,044.81
  5. Step 5: Solve for x
    x = 840,044.81/1,001.06
  6. Step 6: Final answer
    x = 839.16

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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.