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Finding the Fourth Proportional to 1,334.64, 1,841.52 and 774.84

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Solution

The fourth proportional to 1,334.64, 1,841.52 and 774.84 is: 1,069.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,334.64 : 1,841.52 = 774.84 : x
  2. Step 2: Convert to fraction form
    1,334.64/1,841.52 = 774.84/x
  3. Step 3: Cross multiply
    1,334.64x = 1,841.52 × 774.84
  4. Step 4: Simplify right side
    1,334.64x = 1,426,883.36
  5. Step 5: Solve for x
    x = 1,426,883.36/1,334.64
  6. Step 6: Final answer
    x = 1,069.11

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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.