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Finding the Fourth Proportional to 1,505.26, 2,258.14 and 639.70

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Solution

The fourth proportional to 1,505.26, 2,258.14 and 639.70 is: 959.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,505.26 : 2,258.14 = 639.70 : x
  2. Step 2: Convert to fraction form
    1,505.26/2,258.14 = 639.70/x
  3. Step 3: Cross multiply
    1,505.26x = 2,258.14 × 639.70
  4. Step 4: Simplify right side
    1,505.26x = 1,444,532.16
  5. Step 5: Solve for x
    x = 1,444,532.16/1,505.26
  6. Step 6: Final answer
    x = 959.66

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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.