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Finding the Fourth Proportional to 1,209, 1,813.52 and 525

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Solution

The fourth proportional to 1,209, 1,813.52 and 525 is: 787.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,209 : 1,813.52 = 525 : x
  2. Step 2: Convert to fraction form
    1,209/1,813.52 = 525/x
  3. Step 3: Cross multiply
    1,209x = 1,813.52 × 525
  4. Step 4: Simplify right side
    1,209x = 952,098
  5. Step 5: Solve for x
    x = 952,098/1,209
  6. Step 6: Final answer
    x = 787.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.