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Finding the Fourth Proportional to 1,446.17, 1,995.51 and 848.44

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Solution

The fourth proportional to 1,446.17, 1,995.51 and 848.44 is: 1,170.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,446.17 : 1,995.51 = 848.44 : x
  2. Step 2: Convert to fraction form
    1,446.17/1,995.51 = 848.44/x
  3. Step 3: Cross multiply
    1,446.17x = 1,995.51 × 848.44
  4. Step 4: Simplify right side
    1,446.17x = 1,693,070.50
  5. Step 5: Solve for x
    x = 1,693,070.50/1,446.17
  6. Step 6: Final answer
    x = 1,170.73

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1.5x scale

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.