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Finding the Fourth Proportional to 684.66, 1,026.99 and 440.85

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Solution

The fourth proportional to 684.66, 1,026.99 and 440.85 is: 661.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.66 : 1,026.99 = 440.85 : x
  2. Step 2: Convert to fraction form
    684.66/1,026.99 = 440.85/x
  3. Step 3: Cross multiply
    684.66x = 1,026.99 × 440.85
  4. Step 4: Simplify right side
    684.66x = 452,748.54
  5. Step 5: Solve for x
    x = 452,748.54/684.66
  6. Step 6: Final answer
    x = 661.28

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Double scale
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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.