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Finding the Fourth Proportional to 917.16, 1,375.81 and 429.94

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Solution

The fourth proportional to 917.16, 1,375.81 and 429.94 is: 644.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    917.16 : 1,375.81 = 429.94 : x
  2. Step 2: Convert to fraction form
    917.16/1,375.81 = 429.94/x
  3. Step 3: Cross multiply
    917.16x = 1,375.81 × 429.94
  4. Step 4: Simplify right side
    917.16x = 591,515.75
  5. Step 5: Solve for x
    x = 591,515.75/917.16
  6. Step 6: Final answer
    x = 644.94

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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.