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Finding the Fourth Proportional to 876.54, 1,209.78 and 527.25

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Solution

The fourth proportional to 876.54, 1,209.78 and 527.25 is: 727.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.54 : 1,209.78 = 527.25 : x
  2. Step 2: Convert to fraction form
    876.54/1,209.78 = 527.25/x
  3. Step 3: Cross multiply
    876.54x = 1,209.78 × 527.25
  4. Step 4: Simplify right side
    876.54x = 637,856.51
  5. Step 5: Solve for x
    x = 637,856.51/876.54
  6. Step 6: Final answer
    x = 727.70

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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.