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Finding the Fourth Proportional to 937.64, 1,407.30 and 450.86

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Solution

The fourth proportional to 937.64, 1,407.30 and 450.86 is: 676.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    937.64 : 1,407.30 = 450.86 : x
  2. Step 2: Convert to fraction form
    937.64/1,407.30 = 450.86/x
  3. Step 3: Cross multiply
    937.64x = 1,407.30 × 450.86
  4. Step 4: Simplify right side
    937.64x = 634,495.28
  5. Step 5: Solve for x
    x = 634,495.28/937.64
  6. Step 6: Final answer
    x = 676.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.