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Finding the Fourth Proportional to 1,264.74, 1,745.37 and 740.58

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Solution

The fourth proportional to 1,264.74, 1,745.37 and 740.58 is: 1,022.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,264.74 : 1,745.37 = 740.58 : x
  2. Step 2: Convert to fraction form
    1,264.74/1,745.37 = 740.58/x
  3. Step 3: Cross multiply
    1,264.74x = 1,745.37 × 740.58
  4. Step 4: Simplify right side
    1,264.74x = 1,292,586.11
  5. Step 5: Solve for x
    x = 1,292,586.11/1,264.74
  6. Step 6: Final answer
    x = 1,022.02

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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.