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Finding the Fourth Proportional to 1,147.69, 1,720.51 and 416.76

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Solution

The fourth proportional to 1,147.69, 1,720.51 and 416.76 is: 624.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,147.69 : 1,720.51 = 416.76 : x
  2. Step 2: Convert to fraction form
    1,147.69/1,720.51 = 416.76/x
  3. Step 3: Cross multiply
    1,147.69x = 1,720.51 × 416.76
  4. Step 4: Simplify right side
    1,147.69x = 717,039.75
  5. Step 5: Solve for x
    x = 717,039.75/1,147.69
  6. Step 6: Final answer
    x = 624.77

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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.