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Finding the Fourth Proportional to 1,188.84, 1,782.84 and 1,004.85

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Solution

The fourth proportional to 1,188.84, 1,782.84 and 1,004.85 is: 1,506.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,188.84 : 1,782.84 = 1,004.85 : x
  2. Step 2: Convert to fraction form
    1,188.84/1,782.84 = 1,004.85/x
  3. Step 3: Cross multiply
    1,188.84x = 1,782.84 × 1,004.85
  4. Step 4: Simplify right side
    1,188.84x = 1,791,486.77
  5. Step 5: Solve for x
    x = 1,791,486.77/1,188.84
  6. Step 6: Final answer
    x = 1,506.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.