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Finding the Fourth Proportional to 1,147.86, 1,720.28 and 522.70

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Solution

The fourth proportional to 1,147.86, 1,720.28 and 522.70 is: 783.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,147.86 : 1,720.28 = 522.70 : x
  2. Step 2: Convert to fraction form
    1,147.86/1,720.28 = 522.70/x
  3. Step 3: Cross multiply
    1,147.86x = 1,720.28 × 522.70
  4. Step 4: Simplify right side
    1,147.86x = 899,190.36
  5. Step 5: Solve for x
    x = 899,190.36/1,147.86
  6. Step 6: Final answer
    x = 783.36

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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.