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Finding the Fourth Proportional to 840.22, 1,258.98 and 514.60

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Solution

The fourth proportional to 840.22, 1,258.98 and 514.60 is: 771.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.22 : 1,258.98 = 514.60 : x
  2. Step 2: Convert to fraction form
    840.22/1,258.98 = 514.60/x
  3. Step 3: Cross multiply
    840.22x = 1,258.98 × 514.60
  4. Step 4: Simplify right side
    840.22x = 647,871.11
  5. Step 5: Solve for x
    x = 647,871.11/840.22
  6. Step 6: Final answer
    x = 771.07

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Why These Related Problems?

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