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Finding the Fourth Proportional to 848.13, 1,272.30 and 292.69

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Solution

The fourth proportional to 848.13, 1,272.30 and 292.69 is: 439.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    848.13 : 1,272.30 = 292.69 : x
  2. Step 2: Convert to fraction form
    848.13/1,272.30 = 292.69/x
  3. Step 3: Cross multiply
    848.13x = 1,272.30 × 292.69
  4. Step 4: Simplify right side
    848.13x = 372,389.49
  5. Step 5: Solve for x
    x = 372,389.49/848.13
  6. Step 6: Final answer
    x = 439.07

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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.