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Finding the Fourth Proportional to 914.92, 1,369.91 and 524.59

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Solution

The fourth proportional to 914.92, 1,369.91 and 524.59 is: 785.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    914.92 : 1,369.91 = 524.59 : x
  2. Step 2: Convert to fraction form
    914.92/1,369.91 = 524.59/x
  3. Step 3: Cross multiply
    914.92x = 1,369.91 × 524.59
  4. Step 4: Simplify right side
    914.92x = 718,638.97
  5. Step 5: Solve for x
    x = 718,638.97/914.92
  6. Step 6: Final answer
    x = 785.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.