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Finding the Fourth Proportional to 806.47, 1,207.09 and 435.76

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Solution

The fourth proportional to 806.47, 1,207.09 and 435.76 is: 652.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.47 : 1,207.09 = 435.76 : x
  2. Step 2: Convert to fraction form
    806.47/1,207.09 = 435.76/x
  3. Step 3: Cross multiply
    806.47x = 1,207.09 × 435.76
  4. Step 4: Simplify right side
    806.47x = 526,001.54
  5. Step 5: Solve for x
    x = 526,001.54/806.47
  6. Step 6: Final answer
    x = 652.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.