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Finding the Fourth Proportional to 926.68, 1,383.41 and 894.24

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Solution

The fourth proportional to 926.68, 1,383.41 and 894.24 is: 1,334.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.68 : 1,383.41 = 894.24 : x
  2. Step 2: Convert to fraction form
    926.68/1,383.41 = 894.24/x
  3. Step 3: Cross multiply
    926.68x = 1,383.41 × 894.24
  4. Step 4: Simplify right side
    926.68x = 1,237,106.68
  5. Step 5: Solve for x
    x = 1,237,106.68/926.68
  6. Step 6: Final answer
    x = 1,334.98

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.