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Finding the Fourth Proportional to 914.23, 1,261.62 and 521.23

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Solution

The fourth proportional to 914.23, 1,261.62 and 521.23 is: 719.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    914.23 : 1,261.62 = 521.23 : x
  2. Step 2: Convert to fraction form
    914.23/1,261.62 = 521.23/x
  3. Step 3: Cross multiply
    914.23x = 1,261.62 × 521.23
  4. Step 4: Simplify right side
    914.23x = 657,594.19
  5. Step 5: Solve for x
    x = 657,594.19/914.23
  6. Step 6: Final answer
    x = 719.29

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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.