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Finding the Fourth Proportional to 654.21, 903.78 and 514.35

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Solution

The fourth proportional to 654.21, 903.78 and 514.35 is: 710.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.21 : 903.78 = 514.35 : x
  2. Step 2: Convert to fraction form
    654.21/903.78 = 514.35/x
  3. Step 3: Cross multiply
    654.21x = 903.78 × 514.35
  4. Step 4: Simplify right side
    654.21x = 464,859.24
  5. Step 5: Solve for x
    x = 464,859.24/654.21
  6. Step 6: Final answer
    x = 710.57

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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.