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Finding the Fourth Proportional to 1,007.13, 1,389.75 and 564.97

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Solution

The fourth proportional to 1,007.13, 1,389.75 and 564.97 is: 779.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,007.13 : 1,389.75 = 564.97 : x
  2. Step 2: Convert to fraction form
    1,007.13/1,389.75 = 564.97/x
  3. Step 3: Cross multiply
    1,007.13x = 1,389.75 × 564.97
  4. Step 4: Simplify right side
    1,007.13x = 785,167.06
  5. Step 5: Solve for x
    x = 785,167.06/1,007.13
  6. Step 6: Final answer
    x = 779.61

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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.