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Finding the Fourth Proportional to 875.08, 1,207.86 and 521.24

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Solution

The fourth proportional to 875.08, 1,207.86 and 521.24 is: 719.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.08 : 1,207.86 = 521.24 : x
  2. Step 2: Convert to fraction form
    875.08/1,207.86 = 521.24/x
  3. Step 3: Cross multiply
    875.08x = 1,207.86 × 521.24
  4. Step 4: Simplify right side
    875.08x = 629,584.95
  5. Step 5: Solve for x
    x = 629,584.95/875.08
  6. Step 6: Final answer
    x = 719.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.