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Finding the Fourth Proportional to 1,428.23, 1,970.33 and 838.55

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Solution

The fourth proportional to 1,428.23, 1,970.33 and 838.55 is: 1,156.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,428.23 : 1,970.33 = 838.55 : x
  2. Step 2: Convert to fraction form
    1,428.23/1,970.33 = 838.55/x
  3. Step 3: Cross multiply
    1,428.23x = 1,970.33 × 838.55
  4. Step 4: Simplify right side
    1,428.23x = 1,652,220.95
  5. Step 5: Solve for x
    x = 1,652,220.95/1,428.23
  6. Step 6: Final answer
    x = 1,156.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.