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Finding the Fourth Proportional to 914.04, 1,369.97 and 524.31

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Solution

The fourth proportional to 914.04, 1,369.97 and 524.31 is: 785.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    914.04 : 1,369.97 = 524.31 : x
  2. Step 2: Convert to fraction form
    914.04/1,369.97 = 524.31/x
  3. Step 3: Cross multiply
    914.04x = 1,369.97 × 524.31
  4. Step 4: Simplify right side
    914.04x = 718,286.35
  5. Step 5: Solve for x
    x = 718,286.35/914.04
  6. Step 6: Final answer
    x = 785.84

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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.