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Finding the Fourth Proportional to 876.07, 1,209.09 and 526.83

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Solution

The fourth proportional to 876.07, 1,209.09 and 526.83 is: 727.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.07 : 1,209.09 = 526.83 : x
  2. Step 2: Convert to fraction form
    876.07/1,209.09 = 526.83/x
  3. Step 3: Cross multiply
    876.07x = 1,209.09 × 526.83
  4. Step 4: Simplify right side
    876.07x = 636,984.88
  5. Step 5: Solve for x
    x = 636,984.88/876.07
  6. Step 6: Final answer
    x = 727.09

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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.