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Finding the Fourth Proportional to 854.42, 1,281.72 and 464.18

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Solution

The fourth proportional to 854.42, 1,281.72 and 464.18 is: 696.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.42 : 1,281.72 = 464.18 : x
  2. Step 2: Convert to fraction form
    854.42/1,281.72 = 464.18/x
  3. Step 3: Cross multiply
    854.42x = 1,281.72 × 464.18
  4. Step 4: Simplify right side
    854.42x = 594,948.79
  5. Step 5: Solve for x
    x = 594,948.79/854.42
  6. Step 6: Final answer
    x = 696.32

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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.