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Finding the Fourth Proportional to 1,416.52, 1,953.28 and 968.44

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Solution

The fourth proportional to 1,416.52, 1,953.28 and 968.44 is: 1,335.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,416.52 : 1,953.28 = 968.44 : x
  2. Step 2: Convert to fraction form
    1,416.52/1,953.28 = 968.44/x
  3. Step 3: Cross multiply
    1,416.52x = 1,953.28 × 968.44
  4. Step 4: Simplify right side
    1,416.52x = 1,891,634.48
  5. Step 5: Solve for x
    x = 1,891,634.48/1,416.52
  6. Step 6: Final answer
    x = 1,335.41

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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.