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Finding the Fourth Proportional to 1,625.45, 2,436.69 and 585.20

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Solution

The fourth proportional to 1,625.45, 2,436.69 and 585.20 is: 877.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,625.45 : 2,436.69 = 585.20 : x
  2. Step 2: Convert to fraction form
    1,625.45/2,436.69 = 585.20/x
  3. Step 3: Cross multiply
    1,625.45x = 2,436.69 × 585.20
  4. Step 4: Simplify right side
    1,625.45x = 1,425,950.99
  5. Step 5: Solve for x
    x = 1,425,950.99/1,625.45
  6. Step 6: Final answer
    x = 877.27

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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.