Home / 1,466.38-2,023.57-803.23

Finding the Fourth Proportional to 1,466.38, 2,023.57 and 803.23

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Solution

The fourth proportional to 1,466.38, 2,023.57 and 803.23 is: 1,108.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,466.38 : 2,023.57 = 803.23 : x
  2. Step 2: Convert to fraction form
    1,466.38/2,023.57 = 803.23/x
  3. Step 3: Cross multiply
    1,466.38x = 2,023.57 × 803.23
  4. Step 4: Simplify right side
    1,466.38x = 1,625,384.02
  5. Step 5: Solve for x
    x = 1,625,384.02/1,466.38
  6. Step 6: Final answer
    x = 1,108.44

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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.