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Finding the Fourth Proportional to 1,114.41, 1,669.78 and 383.58

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Solution

The fourth proportional to 1,114.41, 1,669.78 and 383.58 is: 574.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,114.41 : 1,669.78 = 383.58 : x
  2. Step 2: Convert to fraction form
    1,114.41/1,669.78 = 383.58/x
  3. Step 3: Cross multiply
    1,114.41x = 1,669.78 × 383.58
  4. Step 4: Simplify right side
    1,114.41x = 640,492.29
  5. Step 5: Solve for x
    x = 640,492.29/1,114.41
  6. Step 6: Final answer
    x = 574.74

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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.