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Finding the Fourth Proportional to 1,297.64, 1,945.18 and 527.56

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Solution

The fourth proportional to 1,297.64, 1,945.18 and 527.56 is: 790.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297.64 : 1,945.18 = 527.56 : x
  2. Step 2: Convert to fraction form
    1,297.64/1,945.18 = 527.56/x
  3. Step 3: Cross multiply
    1,297.64x = 1,945.18 × 527.56
  4. Step 4: Simplify right side
    1,297.64x = 1,026,199.16
  5. Step 5: Solve for x
    x = 1,026,199.16/1,297.64
  6. Step 6: Final answer
    x = 790.82

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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.