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Finding the Fourth Proportional to 1,047.33, 1,445.03 and 674.53

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Solution

The fourth proportional to 1,047.33, 1,445.03 and 674.53 is: 930.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,047.33 : 1,445.03 = 674.53 : x
  2. Step 2: Convert to fraction form
    1,047.33/1,445.03 = 674.53/x
  3. Step 3: Cross multiply
    1,047.33x = 1,445.03 × 674.53
  4. Step 4: Simplify right side
    1,047.33x = 974,709.10
  5. Step 5: Solve for x
    x = 974,709.10/1,047.33
  6. Step 6: Final answer
    x = 930.66

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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.