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Finding the Fourth Proportional to 745.59, 1,028.93 and 414.07

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Solution

The fourth proportional to 745.59, 1,028.93 and 414.07 is: 571.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    745.59 : 1,028.93 = 414.07 : x
  2. Step 2: Convert to fraction form
    745.59/1,028.93 = 414.07/x
  3. Step 3: Cross multiply
    745.59x = 1,028.93 × 414.07
  4. Step 4: Simplify right side
    745.59x = 426,044.40
  5. Step 5: Solve for x
    x = 426,044.40/745.59
  6. Step 6: Final answer
    x = 571.42

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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.