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Finding the Fourth Proportional to 1,262.24, 1,893.42 and 568.16

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Solution

The fourth proportional to 1,262.24, 1,893.42 and 568.16 is: 852.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,262.24 : 1,893.42 = 568.16 : x
  2. Step 2: Convert to fraction form
    1,262.24/1,893.42 = 568.16/x
  3. Step 3: Cross multiply
    1,262.24x = 1,893.42 × 568.16
  4. Step 4: Simplify right side
    1,262.24x = 1,075,765.51
  5. Step 5: Solve for x
    x = 1,075,765.51/1,262.24
  6. Step 6: Final answer
    x = 852.27

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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.