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Finding the Fourth Proportional to 1,461.06, 2,016.16 and 901.33

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Solution

The fourth proportional to 1,461.06, 2,016.16 and 901.33 is: 1,243.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,461.06 : 2,016.16 = 901.33 : x
  2. Step 2: Convert to fraction form
    1,461.06/2,016.16 = 901.33/x
  3. Step 3: Cross multiply
    1,461.06x = 2,016.16 × 901.33
  4. Step 4: Simplify right side
    1,461.06x = 1,817,218.20
  5. Step 5: Solve for x
    x = 1,817,218.20/1,461.06
  6. Step 6: Final answer
    x = 1,243.77

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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.