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Finding the Fourth Proportional to 1,038.14, 1,431.37 and 723.68

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Solution

The fourth proportional to 1,038.14, 1,431.37 and 723.68 is: 997.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,038.14 : 1,431.37 = 723.68 : x
  2. Step 2: Convert to fraction form
    1,038.14/1,431.37 = 723.68/x
  3. Step 3: Cross multiply
    1,038.14x = 1,431.37 × 723.68
  4. Step 4: Simplify right side
    1,038.14x = 1,035,853.84
  5. Step 5: Solve for x
    x = 1,035,853.84/1,038.14
  6. Step 6: Final answer
    x = 997.80

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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.