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Finding the Fourth Proportional to 1,105.19, 1,524.53 and 690.47

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Solution

The fourth proportional to 1,105.19, 1,524.53 and 690.47 is: 952.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,105.19 : 1,524.53 = 690.47 : x
  2. Step 2: Convert to fraction form
    1,105.19/1,524.53 = 690.47/x
  3. Step 3: Cross multiply
    1,105.19x = 1,524.53 × 690.47
  4. Step 4: Simplify right side
    1,105.19x = 1,052,638.17
  5. Step 5: Solve for x
    x = 1,052,638.17/1,105.19
  6. Step 6: Final answer
    x = 952.45

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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.