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Finding the Fourth Proportional to 1,328.91, 1,992.69 and 670.08

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Solution

The fourth proportional to 1,328.91, 1,992.69 and 670.08 is: 1,004.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,328.91 : 1,992.69 = 670.08 : x
  2. Step 2: Convert to fraction form
    1,328.91/1,992.69 = 670.08/x
  3. Step 3: Cross multiply
    1,328.91x = 1,992.69 × 670.08
  4. Step 4: Simplify right side
    1,328.91x = 1,335,261.72
  5. Step 5: Solve for x
    x = 1,335,261.72/1,328.91
  6. Step 6: Final answer
    x = 1,004.78

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1.5x scale

Why These Related Problems?

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