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Finding the Fourth Proportional to 1,595.27, 2,393.26 and 484.61

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Solution

The fourth proportional to 1,595.27, 2,393.26 and 484.61 is: 727.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,595.27 : 2,393.26 = 484.61 : x
  2. Step 2: Convert to fraction form
    1,595.27/2,393.26 = 484.61/x
  3. Step 3: Cross multiply
    1,595.27x = 2,393.26 × 484.61
  4. Step 4: Simplify right side
    1,595.27x = 1,159,784.55
  5. Step 5: Solve for x
    x = 1,159,784.55/1,595.27
  6. Step 6: Final answer
    x = 727.01

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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.