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Finding the Fourth Proportional to 1,424.07, 1,965.03 and 864.66

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Solution

The fourth proportional to 1,424.07, 1,965.03 and 864.66 is: 1,193.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,424.07 : 1,965.03 = 864.66 : x
  2. Step 2: Convert to fraction form
    1,424.07/1,965.03 = 864.66/x
  3. Step 3: Cross multiply
    1,424.07x = 1,965.03 × 864.66
  4. Step 4: Simplify right side
    1,424.07x = 1,699,082.84
  5. Step 5: Solve for x
    x = 1,699,082.84/1,424.07
  6. Step 6: Final answer
    x = 1,193.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.