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Finding the Fourth Proportional to 1,258.03, 1,887.24 and 392.14

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Solution

The fourth proportional to 1,258.03, 1,887.24 and 392.14 is: 588.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,258.03 : 1,887.24 = 392.14 : x
  2. Step 2: Convert to fraction form
    1,258.03/1,887.24 = 392.14/x
  3. Step 3: Cross multiply
    1,258.03x = 1,887.24 × 392.14
  4. Step 4: Simplify right side
    1,258.03x = 740,062.29
  5. Step 5: Solve for x
    x = 740,062.29/1,258.03
  6. Step 6: Final answer
    x = 588.27

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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.