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Finding the Fourth Proportional to 1,435.24, 2,150.70 and 785.08

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Solution

The fourth proportional to 1,435.24, 2,150.70 and 785.08 is: 1,176.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,435.24 : 2,150.70 = 785.08 : x
  2. Step 2: Convert to fraction form
    1,435.24/2,150.70 = 785.08/x
  3. Step 3: Cross multiply
    1,435.24x = 2,150.70 × 785.08
  4. Step 4: Simplify right side
    1,435.24x = 1,688,471.56
  5. Step 5: Solve for x
    x = 1,688,471.56/1,435.24
  6. Step 6: Final answer
    x = 1,176.44

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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.