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Finding the Fourth Proportional to 745.72, 1,117.67 and 437.81

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Solution

The fourth proportional to 745.72, 1,117.67 and 437.81 is: 656.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    745.72 : 1,117.67 = 437.81 : x
  2. Step 2: Convert to fraction form
    745.72/1,117.67 = 437.81/x
  3. Step 3: Cross multiply
    745.72x = 1,117.67 × 437.81
  4. Step 4: Simplify right side
    745.72x = 489,319.33
  5. Step 5: Solve for x
    x = 489,319.33/745.72
  6. Step 6: Final answer
    x = 656.17

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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.