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Finding the Fourth Proportional to 1,737.14, 2,606.12 and 504.58

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Solution

The fourth proportional to 1,737.14, 2,606.12 and 504.58 is: 756.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,737.14 : 2,606.12 = 504.58 : x
  2. Step 2: Convert to fraction form
    1,737.14/2,606.12 = 504.58/x
  3. Step 3: Cross multiply
    1,737.14x = 2,606.12 × 504.58
  4. Step 4: Simplify right side
    1,737.14x = 1,314,990.78
  5. Step 5: Solve for x
    x = 1,314,990.78/1,737.14
  6. Step 6: Final answer
    x = 756.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.