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Finding the Fourth Proportional to 840.54, 1,258.38 and 547.74

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Solution

The fourth proportional to 840.54, 1,258.38 and 547.74 is: 820.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.54 : 1,258.38 = 547.74 : x
  2. Step 2: Convert to fraction form
    840.54/1,258.38 = 547.74/x
  3. Step 3: Cross multiply
    840.54x = 1,258.38 × 547.74
  4. Step 4: Simplify right side
    840.54x = 689,265.06
  5. Step 5: Solve for x
    x = 689,265.06/840.54
  6. Step 6: Final answer
    x = 820.03

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