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Finding the Fourth Proportional to 1,427.51, 1,970.11 and 868.02

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Solution

The fourth proportional to 1,427.51, 1,970.11 and 868.02 is: 1,197.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,427.51 : 1,970.11 = 868.02 : x
  2. Step 2: Convert to fraction form
    1,427.51/1,970.11 = 868.02/x
  3. Step 3: Cross multiply
    1,427.51x = 1,970.11 × 868.02
  4. Step 4: Simplify right side
    1,427.51x = 1,710,083.70
  5. Step 5: Solve for x
    x = 1,710,083.70/1,427.51
  6. Step 6: Final answer
    x = 1,197.95

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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.