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Finding the Fourth Proportional to 840.18, 1,159.11 and 529.50

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Solution

The fourth proportional to 840.18, 1,159.11 and 529.50 is: 730.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.18 : 1,159.11 = 529.50 : x
  2. Step 2: Convert to fraction form
    840.18/1,159.11 = 529.50/x
  3. Step 3: Cross multiply
    840.18x = 1,159.11 × 529.50
  4. Step 4: Simplify right side
    840.18x = 613,748.75
  5. Step 5: Solve for x
    x = 613,748.75/840.18
  6. Step 6: Final answer
    x = 730.50

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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.