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Finding the Fourth Proportional to 1,603.99, 2,406.16 and 434.00

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Solution

The fourth proportional to 1,603.99, 2,406.16 and 434.00 is: 651.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,603.99 : 2,406.16 = 434.00 : x
  2. Step 2: Convert to fraction form
    1,603.99/2,406.16 = 434.00/x
  3. Step 3: Cross multiply
    1,603.99x = 2,406.16 × 434.00
  4. Step 4: Simplify right side
    1,603.99x = 1,044,277.56
  5. Step 5: Solve for x
    x = 1,044,277.56/1,603.99
  6. Step 6: Final answer
    x = 651.05

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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.