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Finding the Fourth Proportional to 785.56, 1,172.52 and 693.30

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Solution

The fourth proportional to 785.56, 1,172.52 and 693.30 is: 1,034.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.56 : 1,172.52 = 693.30 : x
  2. Step 2: Convert to fraction form
    785.56/1,172.52 = 693.30/x
  3. Step 3: Cross multiply
    785.56x = 1,172.52 × 693.30
  4. Step 4: Simplify right side
    785.56x = 812,908.12
  5. Step 5: Solve for x
    x = 812,908.12/785.56
  6. Step 6: Final answer
    x = 1,034.81

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.