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Finding the Fourth Proportional to 957.08, 1,438.36 and 567.30

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Solution

The fourth proportional to 957.08, 1,438.36 and 567.30 is: 852.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    957.08 : 1,438.36 = 567.30 : x
  2. Step 2: Convert to fraction form
    957.08/1,438.36 = 567.30/x
  3. Step 3: Cross multiply
    957.08x = 1,438.36 × 567.30
  4. Step 4: Simplify right side
    957.08x = 815,981.63
  5. Step 5: Solve for x
    x = 815,981.63/957.08
  6. Step 6: Final answer
    x = 852.57

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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.