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Finding the Fourth Proportional to 670.69, 1,006.26 and 605.99

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Solution

The fourth proportional to 670.69, 1,006.26 and 605.99 is: 909.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.69 : 1,006.26 = 605.99 : x
  2. Step 2: Convert to fraction form
    670.69/1,006.26 = 605.99/x
  3. Step 3: Cross multiply
    670.69x = 1,006.26 × 605.99
  4. Step 4: Simplify right side
    670.69x = 609,775.44
  5. Step 5: Solve for x
    x = 609,775.44/670.69
  6. Step 6: Final answer
    x = 909.18

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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.