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Finding the Fourth Proportional to 1,071.70, 1,605.82 and 608.10

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Solution

The fourth proportional to 1,071.70, 1,605.82 and 608.10 is: 911.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,071.70 : 1,605.82 = 608.10 : x
  2. Step 2: Convert to fraction form
    1,071.70/1,605.82 = 608.10/x
  3. Step 3: Cross multiply
    1,071.70x = 1,605.82 × 608.10
  4. Step 4: Simplify right side
    1,071.70x = 976,499.14
  5. Step 5: Solve for x
    x = 976,499.14/1,071.70
  6. Step 6: Final answer
    x = 911.17

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