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Finding the Fourth Proportional to 784.53, 1,175.00 and 564.57

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Solution

The fourth proportional to 784.53, 1,175.00 and 564.57 is: 845.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.53 : 1,175.00 = 564.57 : x
  2. Step 2: Convert to fraction form
    784.53/1,175.00 = 564.57/x
  3. Step 3: Cross multiply
    784.53x = 1,175.00 × 564.57
  4. Step 4: Simplify right side
    784.53x = 663,366.93
  5. Step 5: Solve for x
    x = 663,366.93/784.53
  6. Step 6: Final answer
    x = 845.56

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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.