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Finding the Fourth Proportional to 1,113.39, 1,669.89 and 382.98

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Solution

The fourth proportional to 1,113.39, 1,669.89 and 382.98 is: 574.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,113.39 : 1,669.89 = 382.98 : x
  2. Step 2: Convert to fraction form
    1,113.39/1,669.89 = 382.98/x
  3. Step 3: Cross multiply
    1,113.39x = 1,669.89 × 382.98
  4. Step 4: Simplify right side
    1,113.39x = 639,534.47
  5. Step 5: Solve for x
    x = 639,534.47/1,113.39
  6. Step 6: Final answer
    x = 574.40

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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.