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Finding the Fourth Proportional to 1,575.15, 2,363.07 and 464.59

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Solution

The fourth proportional to 1,575.15, 2,363.07 and 464.59 is: 696.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,575.15 : 2,363.07 = 464.59 : x
  2. Step 2: Convert to fraction form
    1,575.15/2,363.07 = 464.59/x
  3. Step 3: Cross multiply
    1,575.15x = 2,363.07 × 464.59
  4. Step 4: Simplify right side
    1,575.15x = 1,097,858.69
  5. Step 5: Solve for x
    x = 1,097,858.69/1,575.15
  6. Step 6: Final answer
    x = 696.99

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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.