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Finding the Fourth Proportional to 1,558.82, 2,339.04 and 692.94

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Solution

The fourth proportional to 1,558.82, 2,339.04 and 692.94 is: 1,039.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,558.82 : 2,339.04 = 692.94 : x
  2. Step 2: Convert to fraction form
    1,558.82/2,339.04 = 692.94/x
  3. Step 3: Cross multiply
    1,558.82x = 2,339.04 × 692.94
  4. Step 4: Simplify right side
    1,558.82x = 1,620,814.38
  5. Step 5: Solve for x
    x = 1,620,814.38/1,558.82
  6. Step 6: Final answer
    x = 1,039.77

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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.