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Finding the Fourth Proportional to 1,397.12, 1,928.06 and 767.64

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Solution

The fourth proportional to 1,397.12, 1,928.06 and 767.64 is: 1,059.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,397.12 : 1,928.06 = 767.64 : x
  2. Step 2: Convert to fraction form
    1,397.12/1,928.06 = 767.64/x
  3. Step 3: Cross multiply
    1,397.12x = 1,928.06 × 767.64
  4. Step 4: Simplify right side
    1,397.12x = 1,480,055.98
  5. Step 5: Solve for x
    x = 1,480,055.98/1,397.12
  6. Step 6: Final answer
    x = 1,059.36

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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.