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Finding the Fourth Proportional to 1,037.28, 1,431.36 and 687.36

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Solution

The fourth proportional to 1,037.28, 1,431.36 and 687.36 is: 948.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,037.28 : 1,431.36 = 687.36 : x
  2. Step 2: Convert to fraction form
    1,037.28/1,431.36 = 687.36/x
  3. Step 3: Cross multiply
    1,037.28x = 1,431.36 × 687.36
  4. Step 4: Simplify right side
    1,037.28x = 983,859.61
  5. Step 5: Solve for x
    x = 983,859.61/1,037.28
  6. Step 6: Final answer
    x = 948.50

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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.