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Finding the Fourth Proportional to 840.21, 1,159.27 and 524.98

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Solution

The fourth proportional to 840.21, 1,159.27 and 524.98 is: 724.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.21 : 1,159.27 = 524.98 : x
  2. Step 2: Convert to fraction form
    840.21/1,159.27 = 524.98/x
  3. Step 3: Cross multiply
    840.21x = 1,159.27 × 524.98
  4. Step 4: Simplify right side
    840.21x = 608,593.56
  5. Step 5: Solve for x
    x = 608,593.56/840.21
  6. Step 6: Final answer
    x = 724.34

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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.