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Finding the Fourth Proportional to 1,068.63, 1,603.00 and 299.19

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Solution

The fourth proportional to 1,068.63, 1,603.00 and 299.19 is: 448.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,068.63 : 1,603.00 = 299.19 : x
  2. Step 2: Convert to fraction form
    1,068.63/1,603.00 = 299.19/x
  3. Step 3: Cross multiply
    1,068.63x = 1,603.00 × 299.19
  4. Step 4: Simplify right side
    1,068.63x = 479,592.81
  5. Step 5: Solve for x
    x = 479,592.81/1,068.63
  6. Step 6: Final answer
    x = 448.79

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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.