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Finding the Fourth Proportional to 1,263.84, 1,740.34 and 1,236.58

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Solution

The fourth proportional to 1,263.84, 1,740.34 and 1,236.58 is: 1,702.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,263.84 : 1,740.34 = 1,236.58 : x
  2. Step 2: Convert to fraction form
    1,263.84/1,740.34 = 1,236.58/x
  3. Step 3: Cross multiply
    1,263.84x = 1,740.34 × 1,236.58
  4. Step 4: Simplify right side
    1,263.84x = 2,152,069.64
  5. Step 5: Solve for x
    x = 2,152,069.64/1,263.84
  6. Step 6: Final answer
    x = 1,702.80

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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.