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Finding the Fourth Proportional to 745.41, 1,026.58 and 729.27

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Solution

The fourth proportional to 745.41, 1,026.58 and 729.27 is: 1,004.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    745.41 : 1,026.58 = 729.27 : x
  2. Step 2: Convert to fraction form
    745.41/1,026.58 = 729.27/x
  3. Step 3: Cross multiply
    745.41x = 1,026.58 × 729.27
  4. Step 4: Simplify right side
    745.41x = 748,655.59
  5. Step 5: Solve for x
    x = 748,655.59/745.41
  6. Step 6: Final answer
    x = 1,004.35

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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.