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Finding the Fourth Proportional to 1,370.55, 2,056.62 and 579.85

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Solution

The fourth proportional to 1,370.55, 2,056.62 and 579.85 is: 870.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,370.55 : 2,056.62 = 579.85 : x
  2. Step 2: Convert to fraction form
    1,370.55/2,056.62 = 579.85/x
  3. Step 3: Cross multiply
    1,370.55x = 2,056.62 × 579.85
  4. Step 4: Simplify right side
    1,370.55x = 1,192,529.03
  5. Step 5: Solve for x
    x = 1,192,529.03/1,370.55
  6. Step 6: Final answer
    x = 870.11

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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.