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Finding the Fourth Proportional to 1,096.64, 1,513.10 and 703.79

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Solution

The fourth proportional to 1,096.64, 1,513.10 and 703.79 is: 971.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,096.64 : 1,513.10 = 703.79 : x
  2. Step 2: Convert to fraction form
    1,096.64/1,513.10 = 703.79/x
  3. Step 3: Cross multiply
    1,096.64x = 1,513.10 × 703.79
  4. Step 4: Simplify right side
    1,096.64x = 1,064,893.56
  5. Step 5: Solve for x
    x = 1,064,893.56/1,096.64
  6. Step 6: Final answer
    x = 971.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.