Home / 1,466.21-2,023.43-803.12

Finding the Fourth Proportional to 1,466.21, 2,023.43 and 803.12

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Solution

The fourth proportional to 1,466.21, 2,023.43 and 803.12 is: 1,108.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,466.21 : 2,023.43 = 803.12 : x
  2. Step 2: Convert to fraction form
    1,466.21/2,023.43 = 803.12/x
  3. Step 3: Cross multiply
    1,466.21x = 2,023.43 × 803.12
  4. Step 4: Simplify right side
    1,466.21x = 1,625,057.10
  5. Step 5: Solve for x
    x = 1,625,057.10/1,466.21
  6. Step 6: Final answer
    x = 1,108.34

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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.