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Finding the Fourth Proportional to 1,178.21, 1,760.54 and 898.97

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Solution

The fourth proportional to 1,178.21, 1,760.54 and 898.97 is: 1,343.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,178.21 : 1,760.54 = 898.97 : x
  2. Step 2: Convert to fraction form
    1,178.21/1,760.54 = 898.97/x
  3. Step 3: Cross multiply
    1,178.21x = 1,760.54 × 898.97
  4. Step 4: Simplify right side
    1,178.21x = 1,582,659.35
  5. Step 5: Solve for x
    x = 1,582,659.35/1,178.21
  6. Step 6: Final answer
    x = 1,343.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.