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Finding the Fourth Proportional to 784.01, 1,082.00 and 452.55

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Solution

The fourth proportional to 784.01, 1,082.00 and 452.55 is: 624.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.01 : 1,082.00 = 452.55 : x
  2. Step 2: Convert to fraction form
    784.01/1,082.00 = 452.55/x
  3. Step 3: Cross multiply
    784.01x = 1,082.00 × 452.55
  4. Step 4: Simplify right side
    784.01x = 489,656.17
  5. Step 5: Solve for x
    x = 489,656.17/784.01
  6. Step 6: Final answer
    x = 624.55

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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.