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Finding the Fourth Proportional to 1,297.89, 1,947.58 and 476.06

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Solution

The fourth proportional to 1,297.89, 1,947.58 and 476.06 is: 714.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297.89 : 1,947.58 = 476.06 : x
  2. Step 2: Convert to fraction form
    1,297.89/1,947.58 = 476.06/x
  3. Step 3: Cross multiply
    1,297.89x = 1,947.58 × 476.06
  4. Step 4: Simplify right side
    1,297.89x = 927,155.20
  5. Step 5: Solve for x
    x = 927,155.20/1,297.89
  6. Step 6: Final answer
    x = 714.36

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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.