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Finding the Fourth Proportional to 1,575.86, 2,364.13 and 480.19

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Solution

The fourth proportional to 1,575.86, 2,364.13 and 480.19 is: 720.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,575.86 : 2,364.13 = 480.19 : x
  2. Step 2: Convert to fraction form
    1,575.86/2,364.13 = 480.19/x
  3. Step 3: Cross multiply
    1,575.86x = 2,364.13 × 480.19
  4. Step 4: Simplify right side
    1,575.86x = 1,135,228.01
  5. Step 5: Solve for x
    x = 1,135,228.01/1,575.86
  6. Step 6: Final answer
    x = 720.39

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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.