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Finding the Fourth Proportional to 1,302.06, 1,951.83 and 435.75

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Solution

The fourth proportional to 1,302.06, 1,951.83 and 435.75 is: 653.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,302.06 : 1,951.83 = 435.75 : x
  2. Step 2: Convert to fraction form
    1,302.06/1,951.83 = 435.75/x
  3. Step 3: Cross multiply
    1,302.06x = 1,951.83 × 435.75
  4. Step 4: Simplify right side
    1,302.06x = 850,509.92
  5. Step 5: Solve for x
    x = 850,509.92/1,302.06
  6. Step 6: Final answer
    x = 653.20

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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.