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Finding the Fourth Proportional to 1,045.33, 1,568.04 and 351.97

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Solution

The fourth proportional to 1,045.33, 1,568.04 and 351.97 is: 527.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,045.33 : 1,568.04 = 351.97 : x
  2. Step 2: Convert to fraction form
    1,045.33/1,568.04 = 351.97/x
  3. Step 3: Cross multiply
    1,045.33x = 1,568.04 × 351.97
  4. Step 4: Simplify right side
    1,045.33x = 551,895.20
  5. Step 5: Solve for x
    x = 551,895.20/1,045.33
  6. Step 6: Final answer
    x = 527.97

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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.