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Finding the Fourth Proportional to 745.10, 1,026.83 and 558.12

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Solution

The fourth proportional to 745.10, 1,026.83 and 558.12 is: 769.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    745.10 : 1,026.83 = 558.12 : x
  2. Step 2: Convert to fraction form
    745.10/1,026.83 = 558.12/x
  3. Step 3: Cross multiply
    745.10x = 1,026.83 × 558.12
  4. Step 4: Simplify right side
    745.10x = 573,091.57
  5. Step 5: Solve for x
    x = 573,091.57/745.10
  6. Step 6: Final answer
    x = 769.15

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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.