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Finding the Fourth Proportional to 1,180.47, 1,762.07 and 1,094.81

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Solution

The fourth proportional to 1,180.47, 1,762.07 and 1,094.81 is: 1,634.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,180.47 : 1,762.07 = 1,094.81 : x
  2. Step 2: Convert to fraction form
    1,180.47/1,762.07 = 1,094.81/x
  3. Step 3: Cross multiply
    1,180.47x = 1,762.07 × 1,094.81
  4. Step 4: Simplify right side
    1,180.47x = 1,929,117.57
  5. Step 5: Solve for x
    x = 1,929,117.57/1,180.47
  6. Step 6: Final answer
    x = 1,634.19

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.