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Finding the Fourth Proportional to 1,052.84, 1,578.90 and 359.32

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Solution

The fourth proportional to 1,052.84, 1,578.90 and 359.32 is: 538.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,052.84 : 1,578.90 = 359.32 : x
  2. Step 2: Convert to fraction form
    1,052.84/1,578.90 = 359.32/x
  3. Step 3: Cross multiply
    1,052.84x = 1,578.90 × 359.32
  4. Step 4: Simplify right side
    1,052.84x = 567,330.35
  5. Step 5: Solve for x
    x = 567,330.35/1,052.84
  6. Step 6: Final answer
    x = 538.86

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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.