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Finding the Fourth Proportional to 808.50, 1,115.82 and 498

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Solution

The fourth proportional to 808.50, 1,115.82 and 498 is: 687.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    808.50 : 1,115.82 = 498 : x
  2. Step 2: Convert to fraction form
    808.50/1,115.82 = 498/x
  3. Step 3: Cross multiply
    808.50x = 1,115.82 × 498
  4. Step 4: Simplify right side
    808.50x = 555,678.36
  5. Step 5: Solve for x
    x = 555,678.36/808.50
  6. Step 6: Final answer
    x = 687.30

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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.