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Finding the Fourth Proportional to 1,000.77, 1,381.23 and 608.06

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Solution

The fourth proportional to 1,000.77, 1,381.23 and 608.06 is: 839.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,000.77 : 1,381.23 = 608.06 : x
  2. Step 2: Convert to fraction form
    1,000.77/1,381.23 = 608.06/x
  3. Step 3: Cross multiply
    1,000.77x = 1,381.23 × 608.06
  4. Step 4: Simplify right side
    1,000.77x = 839,863.81
  5. Step 5: Solve for x
    x = 839,863.81/1,000.77
  6. Step 6: Final answer
    x = 839.22

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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.