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Finding the Fourth Proportional to 914.58, 1,371.42 and 568.35

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Solution

The fourth proportional to 914.58, 1,371.42 and 568.35 is: 852.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    914.58 : 1,371.42 = 568.35 : x
  2. Step 2: Convert to fraction form
    914.58/1,371.42 = 568.35/x
  3. Step 3: Cross multiply
    914.58x = 1,371.42 × 568.35
  4. Step 4: Simplify right side
    914.58x = 779,446.56
  5. Step 5: Solve for x
    x = 779,446.56/914.58
  6. Step 6: Final answer
    x = 852.25

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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.