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Finding the Fourth Proportional to 1,101.48, 1,519.83 and 708.45

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Solution

The fourth proportional to 1,101.48, 1,519.83 and 708.45 is: 977.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,101.48 : 1,519.83 = 708.45 : x
  2. Step 2: Convert to fraction form
    1,101.48/1,519.83 = 708.45/x
  3. Step 3: Cross multiply
    1,101.48x = 1,519.83 × 708.45
  4. Step 4: Simplify right side
    1,101.48x = 1,076,723.56
  5. Step 5: Solve for x
    x = 1,076,723.56/1,101.48
  6. Step 6: Final answer
    x = 977.52

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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.