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Finding the Fourth Proportional to 1,205.53, 1,663.55 and 708.14

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Solution

The fourth proportional to 1,205.53, 1,663.55 and 708.14 is: 977.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205.53 : 1,663.55 = 708.14 : x
  2. Step 2: Convert to fraction form
    1,205.53/1,663.55 = 708.14/x
  3. Step 3: Cross multiply
    1,205.53x = 1,663.55 × 708.14
  4. Step 4: Simplify right side
    1,205.53x = 1,178,026.30
  5. Step 5: Solve for x
    x = 1,178,026.30/1,205.53
  6. Step 6: Final answer
    x = 977.19

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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.