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Finding the Fourth Proportional to 1,547.49, 2,321.24 and 725.19

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Solution

The fourth proportional to 1,547.49, 2,321.24 and 725.19 is: 1,087.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,547.49 : 2,321.24 = 725.19 : x
  2. Step 2: Convert to fraction form
    1,547.49/2,321.24 = 725.19/x
  3. Step 3: Cross multiply
    1,547.49x = 2,321.24 × 725.19
  4. Step 4: Simplify right side
    1,547.49x = 1,683,340.04
  5. Step 5: Solve for x
    x = 1,683,340.04/1,547.49
  6. Step 6: Final answer
    x = 1,087.79

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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.