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Finding the Fourth Proportional to 1,004.92, 1,386.78 and 556.81

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Solution

The fourth proportional to 1,004.92, 1,386.78 and 556.81 is: 768.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,004.92 : 1,386.78 = 556.81 : x
  2. Step 2: Convert to fraction form
    1,004.92/1,386.78 = 556.81/x
  3. Step 3: Cross multiply
    1,004.92x = 1,386.78 × 556.81
  4. Step 4: Simplify right side
    1,004.92x = 772,172.97
  5. Step 5: Solve for x
    x = 772,172.97/1,004.92
  6. Step 6: Final answer
    x = 768.39

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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.