Home / 1,057.08-1,586.19-837.15

Finding the Fourth Proportional to 1,057.08, 1,586.19 and 837.15

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Solution

The fourth proportional to 1,057.08, 1,586.19 and 837.15 is: 1,256.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057.08 : 1,586.19 = 837.15 : x
  2. Step 2: Convert to fraction form
    1,057.08/1,586.19 = 837.15/x
  3. Step 3: Cross multiply
    1,057.08x = 1,586.19 × 837.15
  4. Step 4: Simplify right side
    1,057.08x = 1,327,878.96
  5. Step 5: Solve for x
    x = 1,327,878.96/1,057.08
  6. Step 6: Final answer
    x = 1,256.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.