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Finding the Fourth Proportional to 745.91, 1,027.67 and 559.10

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Solution

The fourth proportional to 745.91, 1,027.67 and 559.10 is: 770.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    745.91 : 1,027.67 = 559.10 : x
  2. Step 2: Convert to fraction form
    745.91/1,027.67 = 559.10/x
  3. Step 3: Cross multiply
    745.91x = 1,027.67 × 559.10
  4. Step 4: Simplify right side
    745.91x = 574,565.16
  5. Step 5: Solve for x
    x = 574,565.16/745.91
  6. Step 6: Final answer
    x = 770.29

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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.