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Finding the Fourth Proportional to 746.04, 1,111.57 and 704.13

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Solution

The fourth proportional to 746.04, 1,111.57 and 704.13 is: 1,049.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.04 : 1,111.57 = 704.13 : x
  2. Step 2: Convert to fraction form
    746.04/1,111.57 = 704.13/x
  3. Step 3: Cross multiply
    746.04x = 1,111.57 × 704.13
  4. Step 4: Simplify right side
    746.04x = 782,682.47
  5. Step 5: Solve for x
    x = 782,682.47/746.04
  6. Step 6: Final answer
    x = 1,049.11

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.