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Finding the Fourth Proportional to 1,007.25, 1,390.01 and 614.22

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Solution

The fourth proportional to 1,007.25, 1,390.01 and 614.22 is: 847.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,007.25 : 1,390.01 = 614.22 : x
  2. Step 2: Convert to fraction form
    1,007.25/1,390.01 = 614.22/x
  3. Step 3: Cross multiply
    1,007.25x = 1,390.01 × 614.22
  4. Step 4: Simplify right side
    1,007.25x = 853,768.87
  5. Step 5: Solve for x
    x = 853,768.87/1,007.25
  6. Step 6: Final answer
    x = 847.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.