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Finding the Fourth Proportional to 692.17, 1,033.19 and 610.16

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Solution

The fourth proportional to 692.17, 1,033.19 and 610.16 is: 910.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.17 : 1,033.19 = 610.16 : x
  2. Step 2: Convert to fraction form
    692.17/1,033.19 = 610.16/x
  3. Step 3: Cross multiply
    692.17x = 1,033.19 × 610.16
  4. Step 4: Simplify right side
    692.17x = 630,411.21
  5. Step 5: Solve for x
    x = 630,411.21/692.17
  6. Step 6: Final answer
    x = 910.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.