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Finding the Fourth Proportional to 820.13, 1,131.74 and 466.00

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Solution

The fourth proportional to 820.13, 1,131.74 and 466.00 is: 643.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.13 : 1,131.74 = 466.00 : x
  2. Step 2: Convert to fraction form
    820.13/1,131.74 = 466.00/x
  3. Step 3: Cross multiply
    820.13x = 1,131.74 × 466.00
  4. Step 4: Simplify right side
    820.13x = 527,393.79
  5. Step 5: Solve for x
    x = 527,393.79/820.13
  6. Step 6: Final answer
    x = 643.07

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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.