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Finding the Fourth Proportional to 914.79, 1,369.88 and 605.71

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Solution

The fourth proportional to 914.79, 1,369.88 and 605.71 is: 907.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    914.79 : 1,369.88 = 605.71 : x
  2. Step 2: Convert to fraction form
    914.79/1,369.88 = 605.71/x
  3. Step 3: Cross multiply
    914.79x = 1,369.88 × 605.71
  4. Step 4: Simplify right side
    914.79x = 829,743.56
  5. Step 5: Solve for x
    x = 829,743.56/914.79
  6. Step 6: Final answer
    x = 907.03

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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.