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Finding the Fourth Proportional to 1,179.62, 1,770.03 and 530.22

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Solution

The fourth proportional to 1,179.62, 1,770.03 and 530.22 is: 795.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,179.62 : 1,770.03 = 530.22 : x
  2. Step 2: Convert to fraction form
    1,179.62/1,770.03 = 530.22/x
  3. Step 3: Cross multiply
    1,179.62x = 1,770.03 × 530.22
  4. Step 4: Simplify right side
    1,179.62x = 938,505.31
  5. Step 5: Solve for x
    x = 938,505.31/1,179.62
  6. Step 6: Final answer
    x = 795.60

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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.