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Finding the Fourth Proportional to 1,069.84, 1,606.02 and 493.84

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Solution

The fourth proportional to 1,069.84, 1,606.02 and 493.84 is: 741.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,069.84 : 1,606.02 = 493.84 : x
  2. Step 2: Convert to fraction form
    1,069.84/1,606.02 = 493.84/x
  3. Step 3: Cross multiply
    1,069.84x = 1,606.02 × 493.84
  4. Step 4: Simplify right side
    1,069.84x = 793,116.92
  5. Step 5: Solve for x
    x = 793,116.92/1,069.84
  6. Step 6: Final answer
    x = 741.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.