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Finding the Fourth Proportional to 1,603.98, 2,406.33 and 508.32

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Solution

The fourth proportional to 1,603.98, 2,406.33 and 508.32 is: 762.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,603.98 : 2,406.33 = 508.32 : x
  2. Step 2: Convert to fraction form
    1,603.98/2,406.33 = 508.32/x
  3. Step 3: Cross multiply
    1,603.98x = 2,406.33 × 508.32
  4. Step 4: Simplify right side
    1,603.98x = 1,223,185.67
  5. Step 5: Solve for x
    x = 1,223,185.67/1,603.98
  6. Step 6: Final answer
    x = 762.59

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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.