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Finding the Fourth Proportional to 1,113.40, 1,669.54 and 382.76

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Solution

The fourth proportional to 1,113.40, 1,669.54 and 382.76 is: 573.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,113.40 : 1,669.54 = 382.76 : x
  2. Step 2: Convert to fraction form
    1,113.40/1,669.54 = 382.76/x
  3. Step 3: Cross multiply
    1,113.40x = 1,669.54 × 382.76
  4. Step 4: Simplify right side
    1,113.40x = 639,033.13
  5. Step 5: Solve for x
    x = 639,033.13/1,113.40
  6. Step 6: Final answer
    x = 573.95

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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.