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Finding the Fourth Proportional to 1,074.12, 1,611.80 and 580.53

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Solution

The fourth proportional to 1,074.12, 1,611.80 and 580.53 is: 871.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,074.12 : 1,611.80 = 580.53 : x
  2. Step 2: Convert to fraction form
    1,074.12/1,611.80 = 580.53/x
  3. Step 3: Cross multiply
    1,074.12x = 1,611.80 × 580.53
  4. Step 4: Simplify right side
    1,074.12x = 935,699.71
  5. Step 5: Solve for x
    x = 935,699.71/1,074.12
  6. Step 6: Final answer
    x = 871.13

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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.