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Finding the Fourth Proportional to 1,603.66, 2,405.46 and 508.09

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Solution

The fourth proportional to 1,603.66, 2,405.46 and 508.09 is: 762.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,603.66 : 2,405.46 = 508.09 : x
  2. Step 2: Convert to fraction form
    1,603.66/2,405.46 = 508.09/x
  3. Step 3: Cross multiply
    1,603.66x = 2,405.46 × 508.09
  4. Step 4: Simplify right side
    1,603.66x = 1,222,190.17
  5. Step 5: Solve for x
    x = 1,222,190.17/1,603.66
  6. Step 6: Final answer
    x = 762.13

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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.