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Finding the Fourth Proportional to 1,305.33, 1,957.95 and 525.09

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Solution

The fourth proportional to 1,305.33, 1,957.95 and 525.09 is: 787.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,305.33 : 1,957.95 = 525.09 : x
  2. Step 2: Convert to fraction form
    1,305.33/1,957.95 = 525.09/x
  3. Step 3: Cross multiply
    1,305.33x = 1,957.95 × 525.09
  4. Step 4: Simplify right side
    1,305.33x = 1,028,099.97
  5. Step 5: Solve for x
    x = 1,028,099.97/1,305.33
  6. Step 6: Final answer
    x = 787.62

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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.