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Finding the Fourth Proportional to 1,007.09, 1,389.07 and 614.14

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Solution

The fourth proportional to 1,007.09, 1,389.07 and 614.14 is: 847.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,007.09 : 1,389.07 = 614.14 : x
  2. Step 2: Convert to fraction form
    1,007.09/1,389.07 = 614.14/x
  3. Step 3: Cross multiply
    1,007.09x = 1,389.07 × 614.14
  4. Step 4: Simplify right side
    1,007.09x = 853,083.45
  5. Step 5: Solve for x
    x = 853,083.45/1,007.09
  6. Step 6: Final answer
    x = 847.08

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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.