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Finding the Fourth Proportional to 745.74, 1,029.08 and 414.15

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Solution

The fourth proportional to 745.74, 1,029.08 and 414.15 is: 571.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    745.74 : 1,029.08 = 414.15 : x
  2. Step 2: Convert to fraction form
    745.74/1,029.08 = 414.15/x
  3. Step 3: Cross multiply
    745.74x = 1,029.08 × 414.15
  4. Step 4: Simplify right side
    745.74x = 426,194.52
  5. Step 5: Solve for x
    x = 426,194.52/745.74
  6. Step 6: Final answer
    x = 571.50

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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.