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Finding the Fourth Proportional to 958.84, 1,437.63 and 465.12

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Solution

The fourth proportional to 958.84, 1,437.63 and 465.12 is: 697.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    958.84 : 1,437.63 = 465.12 : x
  2. Step 2: Convert to fraction form
    958.84/1,437.63 = 465.12/x
  3. Step 3: Cross multiply
    958.84x = 1,437.63 × 465.12
  4. Step 4: Simplify right side
    958.84x = 668,660.95
  5. Step 5: Solve for x
    x = 668,660.95/958.84
  6. Step 6: Final answer
    x = 697.37

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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.