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Finding the Fourth Proportional to 1,114.12, 1,670.05 and 383.23

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Solution

The fourth proportional to 1,114.12, 1,670.05 and 383.23 is: 574.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,114.12 : 1,670.05 = 383.23 : x
  2. Step 2: Convert to fraction form
    1,114.12/1,670.05 = 383.23/x
  3. Step 3: Cross multiply
    1,114.12x = 1,670.05 × 383.23
  4. Step 4: Simplify right side
    1,114.12x = 640,015.83
  5. Step 5: Solve for x
    x = 640,015.83/1,114.12
  6. Step 6: Final answer
    x = 574.46

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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.