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Finding the Fourth Proportional to 1,264.63, 1,745.58 and 740.83

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Solution

The fourth proportional to 1,264.63, 1,745.58 and 740.83 is: 1,022.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,264.63 : 1,745.58 = 740.83 : x
  2. Step 2: Convert to fraction form
    1,264.63/1,745.58 = 740.83/x
  3. Step 3: Cross multiply
    1,264.63x = 1,745.58 × 740.83
  4. Step 4: Simplify right side
    1,264.63x = 1,293,178.03
  5. Step 5: Solve for x
    x = 1,293,178.03/1,264.63
  6. Step 6: Final answer
    x = 1,022.57

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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.