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Finding the Fourth Proportional to 654.71, 903.06 and 514.62

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Solution

The fourth proportional to 654.71, 903.06 and 514.62 is: 709.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.71 : 903.06 = 514.62 : x
  2. Step 2: Convert to fraction form
    654.71/903.06 = 514.62/x
  3. Step 3: Cross multiply
    654.71x = 903.06 × 514.62
  4. Step 4: Simplify right side
    654.71x = 464,732.74
  5. Step 5: Solve for x
    x = 464,732.74/654.71
  6. Step 6: Final answer
    x = 709.84

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Why These Related Problems?

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