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Finding the Fourth Proportional to 1,037.98, 1,431.93 and 724.01

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Solution

The fourth proportional to 1,037.98, 1,431.93 and 724.01 is: 998.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,037.98 : 1,431.93 = 724.01 : x
  2. Step 2: Convert to fraction form
    1,037.98/1,431.93 = 724.01/x
  3. Step 3: Cross multiply
    1,037.98x = 1,431.93 × 724.01
  4. Step 4: Simplify right side
    1,037.98x = 1,036,731.64
  5. Step 5: Solve for x
    x = 1,036,731.64/1,037.98
  6. Step 6: Final answer
    x = 998.80

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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.