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Finding the Fourth Proportional to 918.86, 1,267.92 and 520.52

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Solution

The fourth proportional to 918.86, 1,267.92 and 520.52 is: 718.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    918.86 : 1,267.92 = 520.52 : x
  2. Step 2: Convert to fraction form
    918.86/1,267.92 = 520.52/x
  3. Step 3: Cross multiply
    918.86x = 1,267.92 × 520.52
  4. Step 4: Simplify right side
    918.86x = 659,977.72
  5. Step 5: Solve for x
    x = 659,977.72/918.86
  6. Step 6: Final answer
    x = 718.26

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