Home / 1,490.13-2,056.28-826.98

Finding the Fourth Proportional to 1,490.13, 2,056.28 and 826.98

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Solution

The fourth proportional to 1,490.13, 2,056.28 and 826.98 is: 1,141.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,490.13 : 2,056.28 = 826.98 : x
  2. Step 2: Convert to fraction form
    1,490.13/2,056.28 = 826.98/x
  3. Step 3: Cross multiply
    1,490.13x = 2,056.28 × 826.98
  4. Step 4: Simplify right side
    1,490.13x = 1,700,504.50
  5. Step 5: Solve for x
    x = 1,700,504.50/1,490.13
  6. Step 6: Final answer
    x = 1,141.18

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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.