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Finding the Fourth Proportional to 866.99, 1,299.47 and 456.32

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Solution

The fourth proportional to 866.99, 1,299.47 and 456.32 is: 683.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.99 : 1,299.47 = 456.32 : x
  2. Step 2: Convert to fraction form
    866.99/1,299.47 = 456.32/x
  3. Step 3: Cross multiply
    866.99x = 1,299.47 × 456.32
  4. Step 4: Simplify right side
    866.99x = 592,965.37
  5. Step 5: Solve for x
    x = 592,965.37/866.99
  6. Step 6: Final answer
    x = 683.94

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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.