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Finding the Fourth Proportional to 1,146.24, 1,720.18 and 858.44

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Solution

The fourth proportional to 1,146.24, 1,720.18 and 858.44 is: 1,288.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,146.24 : 1,720.18 = 858.44 : x
  2. Step 2: Convert to fraction form
    1,146.24/1,720.18 = 858.44/x
  3. Step 3: Cross multiply
    1,146.24x = 1,720.18 × 858.44
  4. Step 4: Simplify right side
    1,146.24x = 1,476,671.32
  5. Step 5: Solve for x
    x = 1,476,671.32/1,146.24
  6. Step 6: Final answer
    x = 1,288.27

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Why These Related Problems?

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