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Finding the Fourth Proportional to 690.53, 1,035.45 and 427.01

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Solution

The fourth proportional to 690.53, 1,035.45 and 427.01 is: 640.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.53 : 1,035.45 = 427.01 : x
  2. Step 2: Convert to fraction form
    690.53/1,035.45 = 427.01/x
  3. Step 3: Cross multiply
    690.53x = 1,035.45 × 427.01
  4. Step 4: Simplify right side
    690.53x = 442,142.33
  5. Step 5: Solve for x
    x = 442,142.33/690.53
  6. Step 6: Final answer
    x = 640.30

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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.