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Finding the Fourth Proportional to 692.08, 1,033.03 and 610.06

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Solution

The fourth proportional to 692.08, 1,033.03 and 610.06 is: 910.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.08 : 1,033.03 = 610.06 : x
  2. Step 2: Convert to fraction form
    692.08/1,033.03 = 610.06/x
  3. Step 3: Cross multiply
    692.08x = 1,033.03 × 610.06
  4. Step 4: Simplify right side
    692.08x = 630,210.28
  5. Step 5: Solve for x
    x = 630,210.28/692.08
  6. Step 6: Final answer
    x = 910.60

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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.