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Finding the Fourth Proportional to 875.43, 1,208.22 and 526.14

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Solution

The fourth proportional to 875.43, 1,208.22 and 526.14 is: 726.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.43 : 1,208.22 = 526.14 : x
  2. Step 2: Convert to fraction form
    875.43/1,208.22 = 526.14/x
  3. Step 3: Cross multiply
    875.43x = 1,208.22 × 526.14
  4. Step 4: Simplify right side
    875.43x = 635,692.87
  5. Step 5: Solve for x
    x = 635,692.87/875.43
  6. Step 6: Final answer
    x = 726.15

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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.