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Finding the Fourth Proportional to 1,580.57, 2,370.65 and 484.84

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Solution

The fourth proportional to 1,580.57, 2,370.65 and 484.84 is: 727.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,580.57 : 2,370.65 = 484.84 : x
  2. Step 2: Convert to fraction form
    1,580.57/2,370.65 = 484.84/x
  3. Step 3: Cross multiply
    1,580.57x = 2,370.65 × 484.84
  4. Step 4: Simplify right side
    1,580.57x = 1,149,395.88
  5. Step 5: Solve for x
    x = 1,149,395.88/1,580.57
  6. Step 6: Final answer
    x = 727.20

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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.