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Finding the Fourth Proportional to 1,051.78, 1,577.64 and 282.28

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Solution

The fourth proportional to 1,051.78, 1,577.64 and 282.28 is: 423.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,051.78 : 1,577.64 = 282.28 : x
  2. Step 2: Convert to fraction form
    1,051.78/1,577.64 = 282.28/x
  3. Step 3: Cross multiply
    1,051.78x = 1,577.64 × 282.28
  4. Step 4: Simplify right side
    1,051.78x = 445,336.22
  5. Step 5: Solve for x
    x = 445,336.22/1,051.78
  6. Step 6: Final answer
    x = 423.41

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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.