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Finding the Fourth Proportional to 1,511.07, 2,265.96 and 470.82

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Solution

The fourth proportional to 1,511.07, 2,265.96 and 470.82 is: 706.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,511.07 : 2,265.96 = 470.82 : x
  2. Step 2: Convert to fraction form
    1,511.07/2,265.96 = 470.82/x
  3. Step 3: Cross multiply
    1,511.07x = 2,265.96 × 470.82
  4. Step 4: Simplify right side
    1,511.07x = 1,066,859.29
  5. Step 5: Solve for x
    x = 1,066,859.29/1,511.07
  6. Step 6: Final answer
    x = 706.03

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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.