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Finding the Fourth Proportional to 1,511.07, 2,266.52 and 470.99

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Solution

The fourth proportional to 1,511.07, 2,266.52 and 470.99 is: 706.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,511.07 : 2,266.52 = 470.99 : x
  2. Step 2: Convert to fraction form
    1,511.07/2,266.52 = 470.99/x
  3. Step 3: Cross multiply
    1,511.07x = 2,266.52 × 470.99
  4. Step 4: Simplify right side
    1,511.07x = 1,067,494.57
  5. Step 5: Solve for x
    x = 1,067,494.57/1,511.07
  6. Step 6: Final answer
    x = 706.45

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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.