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Finding the Fourth Proportional to 745.58, 1,117.62 and 258.26

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Solution

The fourth proportional to 745.58, 1,117.62 and 258.26 is: 387.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    745.58 : 1,117.62 = 258.26 : x
  2. Step 2: Convert to fraction form
    745.58/1,117.62 = 258.26/x
  3. Step 3: Cross multiply
    745.58x = 1,117.62 × 258.26
  4. Step 4: Simplify right side
    745.58x = 288,636.54
  5. Step 5: Solve for x
    x = 288,636.54/745.58
  6. Step 6: Final answer
    x = 387.13

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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.