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Finding the Fourth Proportional to 849.77, 1,172.53 and 500.57

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Solution

The fourth proportional to 849.77, 1,172.53 and 500.57 is: 690.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    849.77 : 1,172.53 = 500.57 : x
  2. Step 2: Convert to fraction form
    849.77/1,172.53 = 500.57/x
  3. Step 3: Cross multiply
    849.77x = 1,172.53 × 500.57
  4. Step 4: Simplify right side
    849.77x = 586,933.34
  5. Step 5: Solve for x
    x = 586,933.34/849.77
  6. Step 6: Final answer
    x = 690.70

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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.