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Finding the Fourth Proportional to 1,069.64, 1,476.36 and 677.06

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Solution

The fourth proportional to 1,069.64, 1,476.36 and 677.06 is: 934.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,069.64 : 1,476.36 = 677.06 : x
  2. Step 2: Convert to fraction form
    1,069.64/1,476.36 = 677.06/x
  3. Step 3: Cross multiply
    1,069.64x = 1,476.36 × 677.06
  4. Step 4: Simplify right side
    1,069.64x = 999,584.30
  5. Step 5: Solve for x
    x = 999,584.30/1,069.64
  6. Step 6: Final answer
    x = 934.51

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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.