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Finding the Fourth Proportional to 676.71, 933.80 and 537.17

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Solution

The fourth proportional to 676.71, 933.80 and 537.17 is: 741.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.71 : 933.80 = 537.17 : x
  2. Step 2: Convert to fraction form
    676.71/933.80 = 537.17/x
  3. Step 3: Cross multiply
    676.71x = 933.80 × 537.17
  4. Step 4: Simplify right side
    676.71x = 501,601.99
  5. Step 5: Solve for x
    x = 501,601.99/676.71
  6. Step 6: Final answer
    x = 741.24

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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.