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Finding the Fourth Proportional to 784.02, 1,082.00 and 452.44

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Solution

The fourth proportional to 784.02, 1,082.00 and 452.44 is: 624.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.02 : 1,082.00 = 452.44 : x
  2. Step 2: Convert to fraction form
    784.02/1,082.00 = 452.44/x
  3. Step 3: Cross multiply
    784.02x = 1,082.00 × 452.44
  4. Step 4: Simplify right side
    784.02x = 489,533.30
  5. Step 5: Solve for x
    x = 489,533.30/784.02
  6. Step 6: Final answer
    x = 624.39

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Double scale
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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.