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Finding the Fourth Proportional to 1,192.19, 1,787.71 and 370.47

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Solution

The fourth proportional to 1,192.19, 1,787.71 and 370.47 is: 555.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,192.19 : 1,787.71 = 370.47 : x
  2. Step 2: Convert to fraction form
    1,192.19/1,787.71 = 370.47/x
  3. Step 3: Cross multiply
    1,192.19x = 1,787.71 × 370.47
  4. Step 4: Simplify right side
    1,192.19x = 662,292.92
  5. Step 5: Solve for x
    x = 662,292.92/1,192.19
  6. Step 6: Final answer
    x = 555.53

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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.