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Finding the Fourth Proportional to 692.87, 1,041.53 and 557.42

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Solution

The fourth proportional to 692.87, 1,041.53 and 557.42 is: 837.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.87 : 1,041.53 = 557.42 : x
  2. Step 2: Convert to fraction form
    692.87/1,041.53 = 557.42/x
  3. Step 3: Cross multiply
    692.87x = 1,041.53 × 557.42
  4. Step 4: Simplify right side
    692.87x = 580,561.66
  5. Step 5: Solve for x
    x = 580,561.66/692.87
  6. Step 6: Final answer
    x = 837.91

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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.