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Finding the Fourth Proportional to 1,146.48, 1,581.88 and 674.28

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Solution

The fourth proportional to 1,146.48, 1,581.88 and 674.28 is: 930.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,146.48 : 1,581.88 = 674.28 : x
  2. Step 2: Convert to fraction form
    1,146.48/1,581.88 = 674.28/x
  3. Step 3: Cross multiply
    1,146.48x = 1,581.88 × 674.28
  4. Step 4: Simplify right side
    1,146.48x = 1,066,630.05
  5. Step 5: Solve for x
    x = 1,066,630.05/1,146.48
  6. Step 6: Final answer
    x = 930.35

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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.