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Finding the Fourth Proportional to 1,297.38, 1,946.08 and 475.30

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Solution

The fourth proportional to 1,297.38, 1,946.08 and 475.30 is: 712.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297.38 : 1,946.08 = 475.30 : x
  2. Step 2: Convert to fraction form
    1,297.38/1,946.08 = 475.30/x
  3. Step 3: Cross multiply
    1,297.38x = 1,946.08 × 475.30
  4. Step 4: Simplify right side
    1,297.38x = 924,971.82
  5. Step 5: Solve for x
    x = 924,971.82/1,297.38
  6. Step 6: Final answer
    x = 712.95

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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.