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Finding the Fourth Proportional to 876.08, 1,208.94 and 526.70

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Solution

The fourth proportional to 876.08, 1,208.94 and 526.70 is: 726.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.08 : 1,208.94 = 526.70 : x
  2. Step 2: Convert to fraction form
    876.08/1,208.94 = 526.70/x
  3. Step 3: Cross multiply
    876.08x = 1,208.94 × 526.70
  4. Step 4: Simplify right side
    876.08x = 636,748.70
  5. Step 5: Solve for x
    x = 636,748.70/876.08
  6. Step 6: Final answer
    x = 726.82

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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.