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Finding the Fourth Proportional to 840.06, 1,157.67 and 559.98

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Solution

The fourth proportional to 840.06, 1,157.67 and 559.98 is: 771.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.06 : 1,157.67 = 559.98 : x
  2. Step 2: Convert to fraction form
    840.06/1,157.67 = 559.98/x
  3. Step 3: Cross multiply
    840.06x = 1,157.67 × 559.98
  4. Step 4: Simplify right side
    840.06x = 648,272.05
  5. Step 5: Solve for x
    x = 648,272.05/840.06
  6. Step 6: Final answer
    x = 771.70

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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.