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Finding the Fourth Proportional to 738.01, 1,102.99 and 679.63

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Solution

The fourth proportional to 738.01, 1,102.99 and 679.63 is: 1,015.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.01 : 1,102.99 = 679.63 : x
  2. Step 2: Convert to fraction form
    738.01/1,102.99 = 679.63/x
  3. Step 3: Cross multiply
    738.01x = 1,102.99 × 679.63
  4. Step 4: Simplify right side
    738.01x = 749,625.09
  5. Step 5: Solve for x
    x = 749,625.09/738.01
  6. Step 6: Final answer
    x = 1,015.74

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.