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Finding the Fourth Proportional to 866.42, 1,298.48 and 454.71

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Solution

The fourth proportional to 866.42, 1,298.48 and 454.71 is: 681.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.42 : 1,298.48 = 454.71 : x
  2. Step 2: Convert to fraction form
    866.42/1,298.48 = 454.71/x
  3. Step 3: Cross multiply
    866.42x = 1,298.48 × 454.71
  4. Step 4: Simplify right side
    866.42x = 590,429.57
  5. Step 5: Solve for x
    x = 590,429.57/866.42
  6. Step 6: Final answer
    x = 681.46

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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.