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Finding the Fourth Proportional to 808.47, 1,116.14 and 556.70

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Solution

The fourth proportional to 808.47, 1,116.14 and 556.70 is: 768.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    808.47 : 1,116.14 = 556.70 : x
  2. Step 2: Convert to fraction form
    808.47/1,116.14 = 556.70/x
  3. Step 3: Cross multiply
    808.47x = 1,116.14 × 556.70
  4. Step 4: Simplify right side
    808.47x = 621,346.77
  5. Step 5: Solve for x
    x = 621,346.77/808.47
  6. Step 6: Final answer
    x = 768.55

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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.