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Finding the Fourth Proportional to 1,188.99, 1,782.48 and 841.23

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Solution

The fourth proportional to 1,188.99, 1,782.48 and 841.23 is: 1,261.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,188.99 : 1,782.48 = 841.23 : x
  2. Step 2: Convert to fraction form
    1,188.99/1,782.48 = 841.23/x
  3. Step 3: Cross multiply
    1,188.99x = 1,782.48 × 841.23
  4. Step 4: Simplify right side
    1,188.99x = 1,499,479.18
  5. Step 5: Solve for x
    x = 1,499,479.18/1,188.99
  6. Step 6: Final answer
    x = 1,261.13

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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.