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Finding the Fourth Proportional to 875.16, 1,208.04 and 525.78

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Solution

The fourth proportional to 875.16, 1,208.04 and 525.78 is: 725.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.16 : 1,208.04 = 525.78 : x
  2. Step 2: Convert to fraction form
    875.16/1,208.04 = 525.78/x
  3. Step 3: Cross multiply
    875.16x = 1,208.04 × 525.78
  4. Step 4: Simplify right side
    875.16x = 635,163.27
  5. Step 5: Solve for x
    x = 635,163.27/875.16
  6. Step 6: Final answer
    x = 725.77

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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.