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Finding the Fourth Proportional to 808.05, 1,114.61 and 512.81

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Solution

The fourth proportional to 808.05, 1,114.61 and 512.81 is: 707.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    808.05 : 1,114.61 = 512.81 : x
  2. Step 2: Convert to fraction form
    808.05/1,114.61 = 512.81/x
  3. Step 3: Cross multiply
    808.05x = 1,114.61 × 512.81
  4. Step 4: Simplify right side
    808.05x = 571,575.02
  5. Step 5: Solve for x
    x = 571,575.02/808.05
  6. Step 6: Final answer
    x = 707.35

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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.