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Finding the Fourth Proportional to 914.70, 1,370.97 and 524.70

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Solution

The fourth proportional to 914.70, 1,370.97 and 524.70 is: 786.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    914.70 : 1,370.97 = 524.70 : x
  2. Step 2: Convert to fraction form
    914.70/1,370.97 = 524.70/x
  3. Step 3: Cross multiply
    914.70x = 1,370.97 × 524.70
  4. Step 4: Simplify right side
    914.70x = 719,347.96
  5. Step 5: Solve for x
    x = 719,347.96/914.70
  6. Step 6: Final answer
    x = 786.43

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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.