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Finding the Fourth Proportional to 848.21, 1,272.52 and 430.71

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Solution

The fourth proportional to 848.21, 1,272.52 and 430.71 is: 646.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    848.21 : 1,272.52 = 430.71 : x
  2. Step 2: Convert to fraction form
    848.21/1,272.52 = 430.71/x
  3. Step 3: Cross multiply
    848.21x = 1,272.52 × 430.71
  4. Step 4: Simplify right side
    848.21x = 548,092.39
  5. Step 5: Solve for x
    x = 548,092.39/848.21
  6. Step 6: Final answer
    x = 646.18

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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.