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Finding the Fourth Proportional to 1,277.10, 1,762.49 and 746.11

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Solution

The fourth proportional to 1,277.10, 1,762.49 and 746.11 is: 1,029.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,277.10 : 1,762.49 = 746.11 : x
  2. Step 2: Convert to fraction form
    1,277.10/1,762.49 = 746.11/x
  3. Step 3: Cross multiply
    1,277.10x = 1,762.49 × 746.11
  4. Step 4: Simplify right side
    1,277.10x = 1,315,011.41
  5. Step 5: Solve for x
    x = 1,315,011.41/1,277.10
  6. Step 6: Final answer
    x = 1,029.69

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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.