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Finding the Fourth Proportional to 746.29, 1,118.35 and 541.30

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Solution

The fourth proportional to 746.29, 1,118.35 and 541.30 is: 811.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.29 : 1,118.35 = 541.30 : x
  2. Step 2: Convert to fraction form
    746.29/1,118.35 = 541.30/x
  3. Step 3: Cross multiply
    746.29x = 1,118.35 × 541.30
  4. Step 4: Simplify right side
    746.29x = 605,362.86
  5. Step 5: Solve for x
    x = 605,362.86/746.29
  6. Step 6: Final answer
    x = 811.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.