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Finding the Fourth Proportional to 612.06, 917.13 and 520.38

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Solution

The fourth proportional to 612.06, 917.13 and 520.38 is: 779.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.06 : 917.13 = 520.38 : x
  2. Step 2: Convert to fraction form
    612.06/917.13 = 520.38/x
  3. Step 3: Cross multiply
    612.06x = 917.13 × 520.38
  4. Step 4: Simplify right side
    612.06x = 477,256.11
  5. Step 5: Solve for x
    x = 477,256.11/612.06
  6. Step 6: Final answer
    x = 779.75

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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.