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Finding the Fourth Proportional to 1,192.02, 1,787.74 and 461.40

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Solution

The fourth proportional to 1,192.02, 1,787.74 and 461.40 is: 691.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,192.02 : 1,787.74 = 461.40 : x
  2. Step 2: Convert to fraction form
    1,192.02/1,787.74 = 461.40/x
  3. Step 3: Cross multiply
    1,192.02x = 1,787.74 × 461.40
  4. Step 4: Simplify right side
    1,192.02x = 824,863.24
  5. Step 5: Solve for x
    x = 824,863.24/1,192.02
  6. Step 6: Final answer
    x = 691.99

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1.5x scale

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.