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Finding the Fourth Proportional to 1,575.60, 2,363.46 and 480

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Solution

The fourth proportional to 1,575.60, 2,363.46 and 480 is: 720.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,575.60 : 2,363.46 = 480 : x
  2. Step 2: Convert to fraction form
    1,575.60/2,363.46 = 480/x
  3. Step 3: Cross multiply
    1,575.60x = 2,363.46 × 480
  4. Step 4: Simplify right side
    1,575.60x = 1,134,460.80
  5. Step 5: Solve for x
    x = 1,134,460.80/1,575.60
  6. Step 6: Final answer
    x = 720.02

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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.