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Finding the Fourth Proportional to 849.50, 1,172.34 and 500.24

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Solution

The fourth proportional to 849.50, 1,172.34 and 500.24 is: 690.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    849.50 : 1,172.34 = 500.24 : x
  2. Step 2: Convert to fraction form
    849.50/1,172.34 = 500.24/x
  3. Step 3: Cross multiply
    849.50x = 1,172.34 × 500.24
  4. Step 4: Simplify right side
    849.50x = 586,451.36
  5. Step 5: Solve for x
    x = 586,451.36/849.50
  6. Step 6: Final answer
    x = 690.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.