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Finding the Fourth Proportional to 908.64, 1,254.16 and 646.74

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Solution

The fourth proportional to 908.64, 1,254.16 and 646.74 is: 892.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    908.64 : 1,254.16 = 646.74 : x
  2. Step 2: Convert to fraction form
    908.64/1,254.16 = 646.74/x
  3. Step 3: Cross multiply
    908.64x = 1,254.16 × 646.74
  4. Step 4: Simplify right side
    908.64x = 811,115.44
  5. Step 5: Solve for x
    x = 811,115.44/908.64
  6. Step 6: Final answer
    x = 892.67

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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.