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Finding the Fourth Proportional to 1,428.40, 1,970.85 and 860.98

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Solution

The fourth proportional to 1,428.40, 1,970.85 and 860.98 is: 1,187.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,428.40 : 1,970.85 = 860.98 : x
  2. Step 2: Convert to fraction form
    1,428.40/1,970.85 = 860.98/x
  3. Step 3: Cross multiply
    1,428.40x = 1,970.85 × 860.98
  4. Step 4: Simplify right side
    1,428.40x = 1,696,862.43
  5. Step 5: Solve for x
    x = 1,696,862.43/1,428.40
  6. Step 6: Final answer
    x = 1,187.95

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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.