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Finding the Fourth Proportional to 1,605.26, 2,407.08 and 782.30

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Solution

The fourth proportional to 1,605.26, 2,407.08 and 782.30 is: 1,173.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,605.26 : 2,407.08 = 782.30 : x
  2. Step 2: Convert to fraction form
    1,605.26/2,407.08 = 782.30/x
  3. Step 3: Cross multiply
    1,605.26x = 2,407.08 × 782.30
  4. Step 4: Simplify right side
    1,605.26x = 1,883,058.68
  5. Step 5: Solve for x
    x = 1,883,058.68/1,605.26
  6. Step 6: Final answer
    x = 1,173.06

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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.