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Finding the Fourth Proportional to 854.05, 1,280.01 and 464.05

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Solution

The fourth proportional to 854.05, 1,280.01 and 464.05 is: 695.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.05 : 1,280.01 = 464.05 : x
  2. Step 2: Convert to fraction form
    854.05/1,280.01 = 464.05/x
  3. Step 3: Cross multiply
    854.05x = 1,280.01 × 464.05
  4. Step 4: Simplify right side
    854.05x = 593,988.64
  5. Step 5: Solve for x
    x = 593,988.64/854.05
  6. Step 6: Final answer
    x = 695.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.