Home / 1,504.53-2,257.65-811.19

Finding the Fourth Proportional to 1,504.53, 2,257.65 and 811.19

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Solution

The fourth proportional to 1,504.53, 2,257.65 and 811.19 is: 1,217.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,504.53 : 2,257.65 = 811.19 : x
  2. Step 2: Convert to fraction form
    1,504.53/2,257.65 = 811.19/x
  3. Step 3: Cross multiply
    1,504.53x = 2,257.65 × 811.19
  4. Step 4: Simplify right side
    1,504.53x = 1,831,383.10
  5. Step 5: Solve for x
    x = 1,831,383.10/1,504.53
  6. Step 6: Final answer
    x = 1,217.25

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1.5x scale

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.