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Finding the Fourth Proportional to 840.68, 1,261.05 and 472.84

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Solution

The fourth proportional to 840.68, 1,261.05 and 472.84 is: 709.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.68 : 1,261.05 = 472.84 : x
  2. Step 2: Convert to fraction form
    840.68/1,261.05 = 472.84/x
  3. Step 3: Cross multiply
    840.68x = 1,261.05 × 472.84
  4. Step 4: Simplify right side
    840.68x = 596,272.62
  5. Step 5: Solve for x
    x = 596,272.62/840.68
  6. Step 6: Final answer
    x = 709.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.