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Finding the Fourth Proportional to 739.88, 1,023 and 647.60

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Solution

The fourth proportional to 739.88, 1,023 and 647.60 is: 895.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    739.88 : 1,023 = 647.60 : x
  2. Step 2: Convert to fraction form
    739.88/1,023 = 647.60/x
  3. Step 3: Cross multiply
    739.88x = 1,023 × 647.60
  4. Step 4: Simplify right side
    739.88x = 662,494.80
  5. Step 5: Solve for x
    x = 662,494.80/739.88
  6. Step 6: Final answer
    x = 895.41

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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.