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Finding the Fourth Proportional to 1,180.23, 1,769.80 and 530.54

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Solution

The fourth proportional to 1,180.23, 1,769.80 and 530.54 is: 795.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,180.23 : 1,769.80 = 530.54 : x
  2. Step 2: Convert to fraction form
    1,180.23/1,769.80 = 530.54/x
  3. Step 3: Cross multiply
    1,180.23x = 1,769.80 × 530.54
  4. Step 4: Simplify right side
    1,180.23x = 938,949.69
  5. Step 5: Solve for x
    x = 938,949.69/1,180.23
  6. Step 6: Final answer
    x = 795.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.