Home / 1,023.18-1,534.20-676.26

Finding the Fourth Proportional to 1,023.18, 1,534.20 and 676.26

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Solution

The fourth proportional to 1,023.18, 1,534.20 and 676.26 is: 1,014.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.18 : 1,534.20 = 676.26 : x
  2. Step 2: Convert to fraction form
    1,023.18/1,534.20 = 676.26/x
  3. Step 3: Cross multiply
    1,023.18x = 1,534.20 × 676.26
  4. Step 4: Simplify right side
    1,023.18x = 1,037,518.09
  5. Step 5: Solve for x
    x = 1,037,518.09/1,023.18
  6. Step 6: Final answer
    x = 1,014.01

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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.