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Finding the Fourth Proportional to 1,037.87, 1,431.24 and 880.93

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Solution

The fourth proportional to 1,037.87, 1,431.24 and 880.93 is: 1,214.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,037.87 : 1,431.24 = 880.93 : x
  2. Step 2: Convert to fraction form
    1,037.87/1,431.24 = 880.93/x
  3. Step 3: Cross multiply
    1,037.87x = 1,431.24 × 880.93
  4. Step 4: Simplify right side
    1,037.87x = 1,260,822.25
  5. Step 5: Solve for x
    x = 1,260,822.25/1,037.87
  6. Step 6: Final answer
    x = 1,214.82

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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.