Home / 1,507.02-2,260.44-411.42

Finding the Fourth Proportional to 1,507.02, 2,260.44 and 411.42

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Solution

The fourth proportional to 1,507.02, 2,260.44 and 411.42 is: 617.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,507.02 : 2,260.44 = 411.42 : x
  2. Step 2: Convert to fraction form
    1,507.02/2,260.44 = 411.42/x
  3. Step 3: Cross multiply
    1,507.02x = 2,260.44 × 411.42
  4. Step 4: Simplify right side
    1,507.02x = 929,990.22
  5. Step 5: Solve for x
    x = 929,990.22/1,507.02
  6. Step 6: Final answer
    x = 617.11

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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.