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Finding the Fourth Proportional to 1,103.17, 1,523.37 and 710.88

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Solution

The fourth proportional to 1,103.17, 1,523.37 and 710.88 is: 981.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,103.17 : 1,523.37 = 710.88 : x
  2. Step 2: Convert to fraction form
    1,103.17/1,523.37 = 710.88/x
  3. Step 3: Cross multiply
    1,103.17x = 1,523.37 × 710.88
  4. Step 4: Simplify right side
    1,103.17x = 1,082,933.27
  5. Step 5: Solve for x
    x = 1,082,933.27/1,103.17
  6. Step 6: Final answer
    x = 981.66

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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.