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Finding the Fourth Proportional to 745.25, 1,117.71 and 258.35

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Solution

The fourth proportional to 745.25, 1,117.71 and 258.35 is: 387.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    745.25 : 1,117.71 = 258.35 : x
  2. Step 2: Convert to fraction form
    745.25/1,117.71 = 258.35/x
  3. Step 3: Cross multiply
    745.25x = 1,117.71 × 258.35
  4. Step 4: Simplify right side
    745.25x = 288,754.79
  5. Step 5: Solve for x
    x = 288,754.79/745.25
  6. Step 6: Final answer
    x = 387.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.