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Finding the Fourth Proportional to 1,258.02, 1,734 and 1,153.44

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Solution

The fourth proportional to 1,258.02, 1,734 and 1,153.44 is: 1,589.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,258.02 : 1,734 = 1,153.44 : x
  2. Step 2: Convert to fraction form
    1,258.02/1,734 = 1,153.44/x
  3. Step 3: Cross multiply
    1,258.02x = 1,734 × 1,153.44
  4. Step 4: Simplify right side
    1,258.02x = 2,000,064.96
  5. Step 5: Solve for x
    x = 2,000,064.96/1,258.02
  6. Step 6: Final answer
    x = 1,589.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.