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Finding the Fourth Proportional to 1,462.04, 2,191.82 and 639.69

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Solution

The fourth proportional to 1,462.04, 2,191.82 and 639.69 is: 958.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,462.04 : 2,191.82 = 639.69 : x
  2. Step 2: Convert to fraction form
    1,462.04/2,191.82 = 639.69/x
  3. Step 3: Cross multiply
    1,462.04x = 2,191.82 × 639.69
  4. Step 4: Simplify right side
    1,462.04x = 1,402,085.34
  5. Step 5: Solve for x
    x = 1,402,085.34/1,462.04
  6. Step 6: Final answer
    x = 958.99

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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.