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Finding the Fourth Proportional to 873.08, 1,309.08 and 461.96

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Solution

The fourth proportional to 873.08, 1,309.08 and 461.96 is: 692.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.08 : 1,309.08 = 461.96 : x
  2. Step 2: Convert to fraction form
    873.08/1,309.08 = 461.96/x
  3. Step 3: Cross multiply
    873.08x = 1,309.08 × 461.96
  4. Step 4: Simplify right side
    873.08x = 604,742.60
  5. Step 5: Solve for x
    x = 604,742.60/873.08
  6. Step 6: Final answer
    x = 692.65

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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.