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Finding the Fourth Proportional to 1,490.77, 2,056.88 and 901.19

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Solution

The fourth proportional to 1,490.77, 2,056.88 and 901.19 is: 1,243.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,490.77 : 2,056.88 = 901.19 : x
  2. Step 2: Convert to fraction form
    1,490.77/2,056.88 = 901.19/x
  3. Step 3: Cross multiply
    1,490.77x = 2,056.88 × 901.19
  4. Step 4: Simplify right side
    1,490.77x = 1,853,647.08
  5. Step 5: Solve for x
    x = 1,853,647.08/1,490.77
  6. Step 6: Final answer
    x = 1,243.42

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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.