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Finding the Fourth Proportional to 1,737.53, 2,605.71 and 504.59

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Solution

The fourth proportional to 1,737.53, 2,605.71 and 504.59 is: 756.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,737.53 : 2,605.71 = 504.59 : x
  2. Step 2: Convert to fraction form
    1,737.53/2,605.71 = 504.59/x
  3. Step 3: Cross multiply
    1,737.53x = 2,605.71 × 504.59
  4. Step 4: Simplify right side
    1,737.53x = 1,314,815.21
  5. Step 5: Solve for x
    x = 1,314,815.21/1,737.53
  6. Step 6: Final answer
    x = 756.72

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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.