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Finding the Fourth Proportional to 1,146.77, 1,582.04 and 680.75

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Solution

The fourth proportional to 1,146.77, 1,582.04 and 680.75 is: 939.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,146.77 : 1,582.04 = 680.75 : x
  2. Step 2: Convert to fraction form
    1,146.77/1,582.04 = 680.75/x
  3. Step 3: Cross multiply
    1,146.77x = 1,582.04 × 680.75
  4. Step 4: Simplify right side
    1,146.77x = 1,076,970.33
  5. Step 5: Solve for x
    x = 1,076,970.33/1,146.77
  6. Step 6: Final answer
    x = 939.13

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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.