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Finding the Fourth Proportional to 1,297.78, 1,946.88 and 477.20

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Solution

The fourth proportional to 1,297.78, 1,946.88 and 477.20 is: 715.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297.78 : 1,946.88 = 477.20 : x
  2. Step 2: Convert to fraction form
    1,297.78/1,946.88 = 477.20/x
  3. Step 3: Cross multiply
    1,297.78x = 1,946.88 × 477.20
  4. Step 4: Simplify right side
    1,297.78x = 929,051.14
  5. Step 5: Solve for x
    x = 929,051.14/1,297.78
  6. Step 6: Final answer
    x = 715.88

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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.