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Finding the Fourth Proportional to 1,547.44, 2,321.19 and 393.19

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Solution

The fourth proportional to 1,547.44, 2,321.19 and 393.19 is: 589.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,547.44 : 2,321.19 = 393.19 : x
  2. Step 2: Convert to fraction form
    1,547.44/2,321.19 = 393.19/x
  3. Step 3: Cross multiply
    1,547.44x = 2,321.19 × 393.19
  4. Step 4: Simplify right side
    1,547.44x = 912,662.89
  5. Step 5: Solve for x
    x = 912,662.89/1,547.44
  6. Step 6: Final answer
    x = 589.79

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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.