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Finding the Fourth Proportional to 808.99, 1,116.15 and 477.53

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Solution

The fourth proportional to 808.99, 1,116.15 and 477.53 is: 658.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    808.99 : 1,116.15 = 477.53 : x
  2. Step 2: Convert to fraction form
    808.99/1,116.15 = 477.53/x
  3. Step 3: Cross multiply
    808.99x = 1,116.15 × 477.53
  4. Step 4: Simplify right side
    808.99x = 532,995.11
  5. Step 5: Solve for x
    x = 532,995.11/808.99
  6. Step 6: Final answer
    x = 658.84

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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.