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Finding the Fourth Proportional to 747.62, 1,029.57 and 745.19

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Solution

The fourth proportional to 747.62, 1,029.57 and 745.19 is: 1,026.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    747.62 : 1,029.57 = 745.19 : x
  2. Step 2: Convert to fraction form
    747.62/1,029.57 = 745.19/x
  3. Step 3: Cross multiply
    747.62x = 1,029.57 × 745.19
  4. Step 4: Simplify right side
    747.62x = 767,225.27
  5. Step 5: Solve for x
    x = 767,225.27/747.62
  6. Step 6: Final answer
    x = 1,026.22

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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.