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Finding the Fourth Proportional to 1,114.98, 1,536.74 and 965.30

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Solution

The fourth proportional to 1,114.98, 1,536.74 and 965.30 is: 1,330.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,114.98 : 1,536.74 = 965.30 : x
  2. Step 2: Convert to fraction form
    1,114.98/1,536.74 = 965.30/x
  3. Step 3: Cross multiply
    1,114.98x = 1,536.74 × 965.30
  4. Step 4: Simplify right side
    1,114.98x = 1,483,415.12
  5. Step 5: Solve for x
    x = 1,483,415.12/1,114.98
  6. Step 6: Final answer
    x = 1,330.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.