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Finding the Fourth Proportional to 647.98, 971.96 and 456.46

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Solution

The fourth proportional to 647.98, 971.96 and 456.46 is: 684.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.98 : 971.96 = 456.46 : x
  2. Step 2: Convert to fraction form
    647.98/971.96 = 456.46/x
  3. Step 3: Cross multiply
    647.98x = 971.96 × 456.46
  4. Step 4: Simplify right side
    647.98x = 443,660.86
  5. Step 5: Solve for x
    x = 443,660.86/647.98
  6. Step 6: Final answer
    x = 684.68

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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.