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Finding the Fourth Proportional to 808.08, 1,114.88 and 493.26

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Solution

The fourth proportional to 808.08, 1,114.88 and 493.26 is: 680.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    808.08 : 1,114.88 = 493.26 : x
  2. Step 2: Convert to fraction form
    808.08/1,114.88 = 493.26/x
  3. Step 3: Cross multiply
    808.08x = 1,114.88 × 493.26
  4. Step 4: Simplify right side
    808.08x = 549,923.24
  5. Step 5: Solve for x
    x = 549,923.24/808.08
  6. Step 6: Final answer
    x = 680.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.