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Finding the Fourth Proportional to 745.18, 1,117.06 and 257.86

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Solution

The fourth proportional to 745.18, 1,117.06 and 257.86 is: 386.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    745.18 : 1,117.06 = 257.86 : x
  2. Step 2: Convert to fraction form
    745.18/1,117.06 = 257.86/x
  3. Step 3: Cross multiply
    745.18x = 1,117.06 × 257.86
  4. Step 4: Simplify right side
    745.18x = 288,045.09
  5. Step 5: Solve for x
    x = 288,045.09/745.18
  6. Step 6: Final answer
    x = 386.54

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Why These Related Problems?

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