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Finding the Fourth Proportional to 1,004.67, 1,386.41 and 556.57

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Solution

The fourth proportional to 1,004.67, 1,386.41 and 556.57 is: 768.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,004.67 : 1,386.41 = 556.57 : x
  2. Step 2: Convert to fraction form
    1,004.67/1,386.41 = 556.57/x
  3. Step 3: Cross multiply
    1,004.67x = 1,386.41 × 556.57
  4. Step 4: Simplify right side
    1,004.67x = 771,634.21
  5. Step 5: Solve for x
    x = 771,634.21/1,004.67
  6. Step 6: Final answer
    x = 768.05

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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.