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Finding the Fourth Proportional to 1,505.06, 2,258.51 and 639.38

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Solution

The fourth proportional to 1,505.06, 2,258.51 and 639.38 is: 959.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,505.06 : 2,258.51 = 639.38 : x
  2. Step 2: Convert to fraction form
    1,505.06/2,258.51 = 639.38/x
  3. Step 3: Cross multiply
    1,505.06x = 2,258.51 × 639.38
  4. Step 4: Simplify right side
    1,505.06x = 1,444,031.63
  5. Step 5: Solve for x
    x = 1,444,031.63/1,505.06
  6. Step 6: Final answer
    x = 959.45

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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.