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Finding the Fourth Proportional to 1,145.18, 1,579.35 and 746.69

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Solution

The fourth proportional to 1,145.18, 1,579.35 and 746.69 is: 1,029.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,145.18 : 1,579.35 = 746.69 : x
  2. Step 2: Convert to fraction form
    1,145.18/1,579.35 = 746.69/x
  3. Step 3: Cross multiply
    1,145.18x = 1,579.35 × 746.69
  4. Step 4: Simplify right side
    1,145.18x = 1,179,284.85
  5. Step 5: Solve for x
    x = 1,179,284.85/1,145.18
  6. Step 6: Final answer
    x = 1,029.78

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