Home / 1,490.32-2,056.53-827.14

Finding the Fourth Proportional to 1,490.32, 2,056.53 and 827.14

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Solution

The fourth proportional to 1,490.32, 2,056.53 and 827.14 is: 1,141.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,490.32 : 2,056.53 = 827.14 : x
  2. Step 2: Convert to fraction form
    1,490.32/2,056.53 = 827.14/x
  3. Step 3: Cross multiply
    1,490.32x = 2,056.53 × 827.14
  4. Step 4: Simplify right side
    1,490.32x = 1,701,038.22
  5. Step 5: Solve for x
    x = 1,701,038.22/1,490.32
  6. Step 6: Final answer
    x = 1,141.39

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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.