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Finding the Fourth Proportional to 1,364.92, 1,883.09 and 767.32

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Solution

The fourth proportional to 1,364.92, 1,883.09 and 767.32 is: 1,058.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,364.92 : 1,883.09 = 767.32 : x
  2. Step 2: Convert to fraction form
    1,364.92/1,883.09 = 767.32/x
  3. Step 3: Cross multiply
    1,364.92x = 1,883.09 × 767.32
  4. Step 4: Simplify right side
    1,364.92x = 1,444,929.83
  5. Step 5: Solve for x
    x = 1,444,929.83/1,364.92
  6. Step 6: Final answer
    x = 1,058.62

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1.5x scale

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.