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Finding the Fourth Proportional to 745.28, 1,027.30 and 587.66

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Solution

The fourth proportional to 745.28, 1,027.30 and 587.66 is: 810.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    745.28 : 1,027.30 = 587.66 : x
  2. Step 2: Convert to fraction form
    745.28/1,027.30 = 587.66/x
  3. Step 3: Cross multiply
    745.28x = 1,027.30 × 587.66
  4. Step 4: Simplify right side
    745.28x = 603,703.12
  5. Step 5: Solve for x
    x = 603,703.12/745.28
  6. Step 6: Final answer
    x = 810.04

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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.