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Finding the Fourth Proportional to 807.82, 1,114.29 and 512.58

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Solution

The fourth proportional to 807.82, 1,114.29 and 512.58 is: 707.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    807.82 : 1,114.29 = 512.58 : x
  2. Step 2: Convert to fraction form
    807.82/1,114.29 = 512.58/x
  3. Step 3: Cross multiply
    807.82x = 1,114.29 × 512.58
  4. Step 4: Simplify right side
    807.82x = 571,162.77
  5. Step 5: Solve for x
    x = 571,162.77/807.82
  6. Step 6: Final answer
    x = 707.04

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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.