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Finding the Fourth Proportional to 840.12, 1,159.44 and 591.72

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Solution

The fourth proportional to 840.12, 1,159.44 and 591.72 is: 816.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.12 : 1,159.44 = 591.72 : x
  2. Step 2: Convert to fraction form
    840.12/1,159.44 = 591.72/x
  3. Step 3: Cross multiply
    840.12x = 1,159.44 × 591.72
  4. Step 4: Simplify right side
    840.12x = 686,063.84
  5. Step 5: Solve for x
    x = 686,063.84/840.12
  6. Step 6: Final answer
    x = 816.63

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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.