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Finding the Fourth Proportional to 745.94, 1,030.26 and 560.24

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Solution

The fourth proportional to 745.94, 1,030.26 and 560.24 is: 773.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    745.94 : 1,030.26 = 560.24 : x
  2. Step 2: Convert to fraction form
    745.94/1,030.26 = 560.24/x
  3. Step 3: Cross multiply
    745.94x = 1,030.26 × 560.24
  4. Step 4: Simplify right side
    745.94x = 577,192.86
  5. Step 5: Solve for x
    x = 577,192.86/745.94
  6. Step 6: Final answer
    x = 773.78

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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.