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Finding the Fourth Proportional to 1,192.94, 1,787.97 and 507.50

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Solution

The fourth proportional to 1,192.94, 1,787.97 and 507.50 is: 760.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,192.94 : 1,787.97 = 507.50 : x
  2. Step 2: Convert to fraction form
    1,192.94/1,787.97 = 507.50/x
  3. Step 3: Cross multiply
    1,192.94x = 1,787.97 × 507.50
  4. Step 4: Simplify right side
    1,192.94x = 907,394.78
  5. Step 5: Solve for x
    x = 907,394.78/1,192.94
  6. Step 6: Final answer
    x = 760.64

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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.