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Finding the Fourth Proportional to 1,004.43, 1,386.17 and 562.37

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Solution

The fourth proportional to 1,004.43, 1,386.17 and 562.37 is: 776.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,004.43 : 1,386.17 = 562.37 : x
  2. Step 2: Convert to fraction form
    1,004.43/1,386.17 = 562.37/x
  3. Step 3: Cross multiply
    1,004.43x = 1,386.17 × 562.37
  4. Step 4: Simplify right side
    1,004.43x = 779,530.68
  5. Step 5: Solve for x
    x = 779,530.68/1,004.43
  6. Step 6: Final answer
    x = 776.09

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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.