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Finding the Fourth Proportional to 1,051.98, 1,577.97 and 367.50

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Solution

The fourth proportional to 1,051.98, 1,577.97 and 367.50 is: 551.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,051.98 : 1,577.97 = 367.50 : x
  2. Step 2: Convert to fraction form
    1,051.98/1,577.97 = 367.50/x
  3. Step 3: Cross multiply
    1,051.98x = 1,577.97 × 367.50
  4. Step 4: Simplify right side
    1,051.98x = 579,903.98
  5. Step 5: Solve for x
    x = 579,903.98/1,051.98
  6. Step 6: Final answer
    x = 551.25

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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.