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Finding the Fourth Proportional to 1,436.49, 2,154.95 and 706.11

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Solution

The fourth proportional to 1,436.49, 2,154.95 and 706.11 is: 1,059.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,436.49 : 2,154.95 = 706.11 : x
  2. Step 2: Convert to fraction form
    1,436.49/2,154.95 = 706.11/x
  3. Step 3: Cross multiply
    1,436.49x = 2,154.95 × 706.11
  4. Step 4: Simplify right side
    1,436.49x = 1,521,628.21
  5. Step 5: Solve for x
    x = 1,521,628.21/1,436.49
  6. Step 6: Final answer
    x = 1,059.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.