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Finding the Fourth Proportional to 1,145.84, 1,581.28 and 673.48

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Solution

The fourth proportional to 1,145.84, 1,581.28 and 673.48 is: 929.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,145.84 : 1,581.28 = 673.48 : x
  2. Step 2: Convert to fraction form
    1,145.84/1,581.28 = 673.48/x
  3. Step 3: Cross multiply
    1,145.84x = 1,581.28 × 673.48
  4. Step 4: Simplify right side
    1,145.84x = 1,064,960.45
  5. Step 5: Solve for x
    x = 1,064,960.45/1,145.84
  6. Step 6: Final answer
    x = 929.41

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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.