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Finding the Fourth Proportional to 784.69, 1,082.77 and 470.01

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Solution

The fourth proportional to 784.69, 1,082.77 and 470.01 is: 648.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.69 : 1,082.77 = 470.01 : x
  2. Step 2: Convert to fraction form
    784.69/1,082.77 = 470.01/x
  3. Step 3: Cross multiply
    784.69x = 1,082.77 × 470.01
  4. Step 4: Simplify right side
    784.69x = 508,912.73
  5. Step 5: Solve for x
    x = 508,912.73/784.69
  6. Step 6: Final answer
    x = 648.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.