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Finding the Fourth Proportional to 745.08, 1,117.74 and 258.27

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Solution

The fourth proportional to 745.08, 1,117.74 and 258.27 is: 387.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    745.08 : 1,117.74 = 258.27 : x
  2. Step 2: Convert to fraction form
    745.08/1,117.74 = 258.27/x
  3. Step 3: Cross multiply
    745.08x = 1,117.74 × 258.27
  4. Step 4: Simplify right side
    745.08x = 288,678.71
  5. Step 5: Solve for x
    x = 288,678.71/745.08
  6. Step 6: Final answer
    x = 387.45

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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.