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Finding the Fourth Proportional to 643.40, 965.10 and 602.90

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Solution

The fourth proportional to 643.40, 965.10 and 602.90 is: 904.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.40 : 965.10 = 602.90 : x
  2. Step 2: Convert to fraction form
    643.40/965.10 = 602.90/x
  3. Step 3: Cross multiply
    643.40x = 965.10 × 602.90
  4. Step 4: Simplify right side
    643.40x = 581,858.79
  5. Step 5: Solve for x
    x = 581,858.79/643.40
  6. Step 6: Final answer
    x = 904.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.