Home / 1,057.10-1,583.27-537.26

Finding the Fourth Proportional to 1,057.10, 1,583.27 and 537.26

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Solution

The fourth proportional to 1,057.10, 1,583.27 and 537.26 is: 804.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057.10 : 1,583.27 = 537.26 : x
  2. Step 2: Convert to fraction form
    1,057.10/1,583.27 = 537.26/x
  3. Step 3: Cross multiply
    1,057.10x = 1,583.27 × 537.26
  4. Step 4: Simplify right side
    1,057.10x = 850,617.04
  5. Step 5: Solve for x
    x = 850,617.04/1,057.10
  6. Step 6: Final answer
    x = 804.67

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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.