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Finding the Fourth Proportional to 1,603.36, 2,405.32 and 782.20

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Solution

The fourth proportional to 1,603.36, 2,405.32 and 782.20 is: 1,173.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,603.36 : 2,405.32 = 782.20 : x
  2. Step 2: Convert to fraction form
    1,603.36/2,405.32 = 782.20/x
  3. Step 3: Cross multiply
    1,603.36x = 2,405.32 × 782.20
  4. Step 4: Simplify right side
    1,603.36x = 1,881,441.30
  5. Step 5: Solve for x
    x = 1,881,441.30/1,603.36
  6. Step 6: Final answer
    x = 1,173.44

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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.