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Finding the Fourth Proportional to 1,264.40, 1,744.36 and 914.32

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Solution

The fourth proportional to 1,264.40, 1,744.36 and 914.32 is: 1,261.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,264.40 : 1,744.36 = 914.32 : x
  2. Step 2: Convert to fraction form
    1,264.40/1,744.36 = 914.32/x
  3. Step 3: Cross multiply
    1,264.40x = 1,744.36 × 914.32
  4. Step 4: Simplify right side
    1,264.40x = 1,594,903.24
  5. Step 5: Solve for x
    x = 1,594,903.24/1,264.40
  6. Step 6: Final answer
    x = 1,261.39

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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.