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Finding the Fourth Proportional to 940.84, 1,298.10 and 609.28

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Solution

The fourth proportional to 940.84, 1,298.10 and 609.28 is: 840.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.84 : 1,298.10 = 609.28 : x
  2. Step 2: Convert to fraction form
    940.84/1,298.10 = 609.28/x
  3. Step 3: Cross multiply
    940.84x = 1,298.10 × 609.28
  4. Step 4: Simplify right side
    940.84x = 790,906.37
  5. Step 5: Solve for x
    x = 790,906.37/940.84
  6. Step 6: Final answer
    x = 840.64

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Double scale
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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.