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Finding the Fourth Proportional to 1,603.96, 2,406.00 and 508.30

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Solution

The fourth proportional to 1,603.96, 2,406.00 and 508.30 is: 762.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,603.96 : 2,406.00 = 508.30 : x
  2. Step 2: Convert to fraction form
    1,603.96/2,406.00 = 508.30/x
  3. Step 3: Cross multiply
    1,603.96x = 2,406.00 × 508.30
  4. Step 4: Simplify right side
    1,603.96x = 1,222,965.69
  5. Step 5: Solve for x
    x = 1,222,965.69/1,603.96
  6. Step 6: Final answer
    x = 762.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.