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Finding the Fourth Proportional to 1,179.19, 1,767.33 and 528.58

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Solution

The fourth proportional to 1,179.19, 1,767.33 and 528.58 is: 792.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,179.19 : 1,767.33 = 528.58 : x
  2. Step 2: Convert to fraction form
    1,179.19/1,767.33 = 528.58/x
  3. Step 3: Cross multiply
    1,179.19x = 1,767.33 × 528.58
  4. Step 4: Simplify right side
    1,179.19x = 934,175.29
  5. Step 5: Solve for x
    x = 934,175.29/1,179.19
  6. Step 6: Final answer
    x = 792.22

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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.