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Finding the Fourth Proportional to 1,343.79, 1,853.48 and 900.92

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Solution

The fourth proportional to 1,343.79, 1,853.48 and 900.92 is: 1,242.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,343.79 : 1,853.48 = 900.92 : x
  2. Step 2: Convert to fraction form
    1,343.79/1,853.48 = 900.92/x
  3. Step 3: Cross multiply
    1,343.79x = 1,853.48 × 900.92
  4. Step 4: Simplify right side
    1,343.79x = 1,669,844.09
  5. Step 5: Solve for x
    x = 1,669,844.09/1,343.79
  6. Step 6: Final answer
    x = 1,242.64

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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.