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Finding the Fourth Proportional to 670.84, 919.04 and 646.24

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Solution

The fourth proportional to 670.84, 919.04 and 646.24 is: 885.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.84 : 919.04 = 646.24 : x
  2. Step 2: Convert to fraction form
    670.84/919.04 = 646.24/x
  3. Step 3: Cross multiply
    670.84x = 919.04 × 646.24
  4. Step 4: Simplify right side
    670.84x = 593,920.41
  5. Step 5: Solve for x
    x = 593,920.41/670.84
  6. Step 6: Final answer
    x = 885.34

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.