Home / 1,533.13-2,300.37-803.23

Finding the Fourth Proportional to 1,533.13, 2,300.37 and 803.23

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Solution

The fourth proportional to 1,533.13, 2,300.37 and 803.23 is: 1,205.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,533.13 : 2,300.37 = 803.23 : x
  2. Step 2: Convert to fraction form
    1,533.13/2,300.37 = 803.23/x
  3. Step 3: Cross multiply
    1,533.13x = 2,300.37 × 803.23
  4. Step 4: Simplify right side
    1,533.13x = 1,847,726.20
  5. Step 5: Solve for x
    x = 1,847,726.20/1,533.13
  6. Step 6: Final answer
    x = 1,205.20

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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.