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Finding the Fourth Proportional to 848.68, 1,272.76 and 271.40

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Solution

The fourth proportional to 848.68, 1,272.76 and 271.40 is: 407.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    848.68 : 1,272.76 = 271.40 : x
  2. Step 2: Convert to fraction form
    848.68/1,272.76 = 271.40/x
  3. Step 3: Cross multiply
    848.68x = 1,272.76 × 271.40
  4. Step 4: Simplify right side
    848.68x = 345,427.06
  5. Step 5: Solve for x
    x = 345,427.06/848.68
  6. Step 6: Final answer
    x = 407.02

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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.