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Finding the Fourth Proportional to 1,490.31, 2,055.51 and 900.09

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Solution

The fourth proportional to 1,490.31, 2,055.51 and 900.09 is: 1,241.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,490.31 : 2,055.51 = 900.09 : x
  2. Step 2: Convert to fraction form
    1,490.31/2,055.51 = 900.09/x
  3. Step 3: Cross multiply
    1,490.31x = 2,055.51 × 900.09
  4. Step 4: Simplify right side
    1,490.31x = 1,850,144.00
  5. Step 5: Solve for x
    x = 1,850,144.00/1,490.31
  6. Step 6: Final answer
    x = 1,241.45

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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.