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Finding the Fourth Proportional to 692.65, 1,036.95 and 461.80

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Solution

The fourth proportional to 692.65, 1,036.95 and 461.80 is: 691.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.65 : 1,036.95 = 461.80 : x
  2. Step 2: Convert to fraction form
    692.65/1,036.95 = 461.80/x
  3. Step 3: Cross multiply
    692.65x = 1,036.95 × 461.80
  4. Step 4: Simplify right side
    692.65x = 478,863.51
  5. Step 5: Solve for x
    x = 478,863.51/692.65
  6. Step 6: Final answer
    x = 691.35

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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.