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Finding the Fourth Proportional to 875.88, 1,209.12 and 526.50

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Solution

The fourth proportional to 875.88, 1,209.12 and 526.50 is: 726.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.88 : 1,209.12 = 526.50 : x
  2. Step 2: Convert to fraction form
    875.88/1,209.12 = 526.50/x
  3. Step 3: Cross multiply
    875.88x = 1,209.12 × 526.50
  4. Step 4: Simplify right side
    875.88x = 636,601.68
  5. Step 5: Solve for x
    x = 636,601.68/875.88
  6. Step 6: Final answer
    x = 726.81

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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.