Home / 1,490.18-2,056.45-827.03

Finding the Fourth Proportional to 1,490.18, 2,056.45 and 827.03

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Solution

The fourth proportional to 1,490.18, 2,056.45 and 827.03 is: 1,141.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,490.18 : 2,056.45 = 827.03 : x
  2. Step 2: Convert to fraction form
    1,490.18/2,056.45 = 827.03/x
  3. Step 3: Cross multiply
    1,490.18x = 2,056.45 × 827.03
  4. Step 4: Simplify right side
    1,490.18x = 1,700,752.02
  5. Step 5: Solve for x
    x = 1,700,752.02/1,490.18
  6. Step 6: Final answer
    x = 1,141.31

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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.