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Finding the Fourth Proportional to 1,045.62, 1,568.25 and 352.22

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Solution

The fourth proportional to 1,045.62, 1,568.25 and 352.22 is: 528.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,045.62 : 1,568.25 = 352.22 : x
  2. Step 2: Convert to fraction form
    1,045.62/1,568.25 = 352.22/x
  3. Step 3: Cross multiply
    1,045.62x = 1,568.25 × 352.22
  4. Step 4: Simplify right side
    1,045.62x = 552,361.17
  5. Step 5: Solve for x
    x = 552,361.17/1,045.62
  6. Step 6: Final answer
    x = 528.26

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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.