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Finding the Fourth Proportional to 745.25, 1,030.75 and 589.42

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Solution

The fourth proportional to 745.25, 1,030.75 and 589.42 is: 815.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    745.25 : 1,030.75 = 589.42 : x
  2. Step 2: Convert to fraction form
    745.25/1,030.75 = 589.42/x
  3. Step 3: Cross multiply
    745.25x = 1,030.75 × 589.42
  4. Step 4: Simplify right side
    745.25x = 607,540.61
  5. Step 5: Solve for x
    x = 607,540.61/745.25
  6. Step 6: Final answer
    x = 815.22

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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.