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Finding the Fourth Proportional to 838.94, 1,157.78 and 466.00

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Solution

The fourth proportional to 838.94, 1,157.78 and 466.00 is: 643.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.94 : 1,157.78 = 466.00 : x
  2. Step 2: Convert to fraction form
    838.94/1,157.78 = 466.00/x
  3. Step 3: Cross multiply
    838.94x = 1,157.78 × 466.00
  4. Step 4: Simplify right side
    838.94x = 539,523.75
  5. Step 5: Solve for x
    x = 539,523.75/838.94
  6. Step 6: Final answer
    x = 643.11

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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.