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Finding the Fourth Proportional to 918.92, 1,268.07 and 525.86

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Solution

The fourth proportional to 918.92, 1,268.07 and 525.86 is: 725.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    918.92 : 1,268.07 = 525.86 : x
  2. Step 2: Convert to fraction form
    918.92/1,268.07 = 525.86/x
  3. Step 3: Cross multiply
    918.92x = 1,268.07 × 525.86
  4. Step 4: Simplify right side
    918.92x = 666,828.49
  5. Step 5: Solve for x
    x = 666,828.49/918.92
  6. Step 6: Final answer
    x = 725.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.