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Finding the Fourth Proportional to 1,060.49, 1,462.74 and 746.41

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Solution

The fourth proportional to 1,060.49, 1,462.74 and 746.41 is: 1,029.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,060.49 : 1,462.74 = 746.41 : x
  2. Step 2: Convert to fraction form
    1,060.49/1,462.74 = 746.41/x
  3. Step 3: Cross multiply
    1,060.49x = 1,462.74 × 746.41
  4. Step 4: Simplify right side
    1,060.49x = 1,091,803.76
  5. Step 5: Solve for x
    x = 1,091,803.76/1,060.49
  6. Step 6: Final answer
    x = 1,029.53

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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.