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Finding the Fourth Proportional to 746.06, 1,030.07 and 667.13

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Solution

The fourth proportional to 746.06, 1,030.07 and 667.13 is: 921.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.06 : 1,030.07 = 667.13 : x
  2. Step 2: Convert to fraction form
    746.06/1,030.07 = 667.13/x
  3. Step 3: Cross multiply
    746.06x = 1,030.07 × 667.13
  4. Step 4: Simplify right side
    746.06x = 687,187.26
  5. Step 5: Solve for x
    x = 687,187.26/746.06
  6. Step 6: Final answer
    x = 921.09

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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.