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Finding the Fourth Proportional to 1,575.50, 2,363.16 and 479.84

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Solution

The fourth proportional to 1,575.50, 2,363.16 and 479.84 is: 719.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,575.50 : 2,363.16 = 479.84 : x
  2. Step 2: Convert to fraction form
    1,575.50/2,363.16 = 479.84/x
  3. Step 3: Cross multiply
    1,575.50x = 2,363.16 × 479.84
  4. Step 4: Simplify right side
    1,575.50x = 1,133,938.69
  5. Step 5: Solve for x
    x = 1,133,938.69/1,575.50
  6. Step 6: Final answer
    x = 719.73

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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.