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Finding the Fourth Proportional to 1,071.68, 1,605.39 and 608.06

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Solution

The fourth proportional to 1,071.68, 1,605.39 and 608.06 is: 910.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,071.68 : 1,605.39 = 608.06 : x
  2. Step 2: Convert to fraction form
    1,071.68/1,605.39 = 608.06/x
  3. Step 3: Cross multiply
    1,071.68x = 1,605.39 × 608.06
  4. Step 4: Simplify right side
    1,071.68x = 976,165.42
  5. Step 5: Solve for x
    x = 976,165.42/1,071.68
  6. Step 6: Final answer
    x = 910.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.