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Finding the Fourth Proportional to 967.80, 1,452.08 and 383.08

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Solution

The fourth proportional to 967.80, 1,452.08 and 383.08 is: 574.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.80 : 1,452.08 = 383.08 : x
  2. Step 2: Convert to fraction form
    967.80/1,452.08 = 383.08/x
  3. Step 3: Cross multiply
    967.80x = 1,452.08 × 383.08
  4. Step 4: Simplify right side
    967.80x = 556,262.81
  5. Step 5: Solve for x
    x = 556,262.81/967.80
  6. Step 6: Final answer
    x = 574.77

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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.