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Finding the Fourth Proportional to 745.67, 1,026.56 and 634.50

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Solution

The fourth proportional to 745.67, 1,026.56 and 634.50 is: 873.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    745.67 : 1,026.56 = 634.50 : x
  2. Step 2: Convert to fraction form
    745.67/1,026.56 = 634.50/x
  3. Step 3: Cross multiply
    745.67x = 1,026.56 × 634.50
  4. Step 4: Simplify right side
    745.67x = 651,352.32
  5. Step 5: Solve for x
    x = 651,352.32/745.67
  6. Step 6: Final answer
    x = 873.51

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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.