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Finding the Fourth Proportional to 1,471.69, 2,207.62 and 376.07

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Solution

The fourth proportional to 1,471.69, 2,207.62 and 376.07 is: 564.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,471.69 : 2,207.62 = 376.07 : x
  2. Step 2: Convert to fraction form
    1,471.69/2,207.62 = 376.07/x
  3. Step 3: Cross multiply
    1,471.69x = 2,207.62 × 376.07
  4. Step 4: Simplify right side
    1,471.69x = 830,206.97
  5. Step 5: Solve for x
    x = 830,206.97/1,471.69
  6. Step 6: Final answer
    x = 564.12

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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.