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Finding the Fourth Proportional to 1,435.98, 1,981.50 and 963.78

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Solution

The fourth proportional to 1,435.98, 1,981.50 and 963.78 is: 1,329.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,435.98 : 1,981.50 = 963.78 : x
  2. Step 2: Convert to fraction form
    1,435.98/1,981.50 = 963.78/x
  3. Step 3: Cross multiply
    1,435.98x = 1,981.50 × 963.78
  4. Step 4: Simplify right side
    1,435.98x = 1,909,715.34
  5. Step 5: Solve for x
    x = 1,909,715.34/1,435.98
  6. Step 6: Final answer
    x = 1,329.91

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