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Finding the Fourth Proportional to 744.98, 1,117.53 and 306.13

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Solution

The fourth proportional to 744.98, 1,117.53 and 306.13 is: 459.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    744.98 : 1,117.53 = 306.13 : x
  2. Step 2: Convert to fraction form
    744.98/1,117.53 = 306.13/x
  3. Step 3: Cross multiply
    744.98x = 1,117.53 × 306.13
  4. Step 4: Simplify right side
    744.98x = 342,103.87
  5. Step 5: Solve for x
    x = 342,103.87/744.98
  6. Step 6: Final answer
    x = 459.22

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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.