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Finding the Fourth Proportional to 1,427.43, 1,970.34 and 838.14

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Solution

The fourth proportional to 1,427.43, 1,970.34 and 838.14 is: 1,156.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,427.43 : 1,970.34 = 838.14 : x
  2. Step 2: Convert to fraction form
    1,427.43/1,970.34 = 838.14/x
  3. Step 3: Cross multiply
    1,427.43x = 1,970.34 × 838.14
  4. Step 4: Simplify right side
    1,427.43x = 1,651,420.77
  5. Step 5: Solve for x
    x = 1,651,420.77/1,427.43
  6. Step 6: Final answer
    x = 1,156.92

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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.