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Finding the Fourth Proportional to 741.95, 1,016.46 and 714.26

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Solution

The fourth proportional to 741.95, 1,016.46 and 714.26 is: 978.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.95 : 1,016.46 = 714.26 : x
  2. Step 2: Convert to fraction form
    741.95/1,016.46 = 714.26/x
  3. Step 3: Cross multiply
    741.95x = 1,016.46 × 714.26
  4. Step 4: Simplify right side
    741.95x = 726,011.64
  5. Step 5: Solve for x
    x = 726,011.64/741.95
  6. Step 6: Final answer
    x = 978.52

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.