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Finding the Fourth Proportional to 1,690.88, 2,534.09 and 715.77

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Solution

The fourth proportional to 1,690.88, 2,534.09 and 715.77 is: 1,072.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,690.88 : 2,534.09 = 715.77 : x
  2. Step 2: Convert to fraction form
    1,690.88/2,534.09 = 715.77/x
  3. Step 3: Cross multiply
    1,690.88x = 2,534.09 × 715.77
  4. Step 4: Simplify right side
    1,690.88x = 1,813,822.02
  5. Step 5: Solve for x
    x = 1,813,822.02/1,690.88
  6. Step 6: Final answer
    x = 1,072.71

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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.