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Finding the Fourth Proportional to 711.07, 980.87 and 455.08

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Solution

The fourth proportional to 711.07, 980.87 and 455.08 is: 627.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.07 : 980.87 = 455.08 : x
  2. Step 2: Convert to fraction form
    711.07/980.87 = 455.08/x
  3. Step 3: Cross multiply
    711.07x = 980.87 × 455.08
  4. Step 4: Simplify right side
    711.07x = 446,369.42
  5. Step 5: Solve for x
    x = 446,369.42/711.07
  6. Step 6: Final answer
    x = 627.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.