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Finding the Fourth Proportional to 1,074.01, 1,611.61 and 580.40

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Solution

The fourth proportional to 1,074.01, 1,611.61 and 580.40 is: 870.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,074.01 : 1,611.61 = 580.40 : x
  2. Step 2: Convert to fraction form
    1,074.01/1,611.61 = 580.40/x
  3. Step 3: Cross multiply
    1,074.01x = 1,611.61 × 580.40
  4. Step 4: Simplify right side
    1,074.01x = 935,381.02
  5. Step 5: Solve for x
    x = 935,381.02/1,074.01
  6. Step 6: Final answer
    x = 870.93

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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.