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Finding the Fourth Proportional to 1,114.12, 1,671.35 and 383.91

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Solution

The fourth proportional to 1,114.12, 1,671.35 and 383.91 is: 575.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,114.12 : 1,671.35 = 383.91 : x
  2. Step 2: Convert to fraction form
    1,114.12/1,671.35 = 383.91/x
  3. Step 3: Cross multiply
    1,114.12x = 1,671.35 × 383.91
  4. Step 4: Simplify right side
    1,114.12x = 641,647.98
  5. Step 5: Solve for x
    x = 641,647.98/1,114.12
  6. Step 6: Final answer
    x = 575.92

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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.