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Finding the Fourth Proportional to 1,199.15, 1,654.71 and 675.17

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Solution

The fourth proportional to 1,199.15, 1,654.71 and 675.17 is: 931.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,199.15 : 1,654.71 = 675.17 : x
  2. Step 2: Convert to fraction form
    1,199.15/1,654.71 = 675.17/x
  3. Step 3: Cross multiply
    1,199.15x = 1,654.71 × 675.17
  4. Step 4: Simplify right side
    1,199.15x = 1,117,210.55
  5. Step 5: Solve for x
    x = 1,117,210.55/1,199.15
  6. Step 6: Final answer
    x = 931.67

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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.