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Finding the Fourth Proportional to 1,037.48, 1,431.88 and 743.72

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Solution

The fourth proportional to 1,037.48, 1,431.88 and 743.72 is: 1,026.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,037.48 : 1,431.88 = 743.72 : x
  2. Step 2: Convert to fraction form
    1,037.48/1,431.88 = 743.72/x
  3. Step 3: Cross multiply
    1,037.48x = 1,431.88 × 743.72
  4. Step 4: Simplify right side
    1,037.48x = 1,064,908.77
  5. Step 5: Solve for x
    x = 1,064,908.77/1,037.48
  6. Step 6: Final answer
    x = 1,026.44

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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.