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Finding the Fourth Proportional to 1,568.67, 2,164.81 and 870.05

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Solution

The fourth proportional to 1,568.67, 2,164.81 and 870.05 is: 1,200.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,568.67 : 2,164.81 = 870.05 : x
  2. Step 2: Convert to fraction form
    1,568.67/2,164.81 = 870.05/x
  3. Step 3: Cross multiply
    1,568.67x = 2,164.81 × 870.05
  4. Step 4: Simplify right side
    1,568.67x = 1,883,492.94
  5. Step 5: Solve for x
    x = 1,883,492.94/1,568.67
  6. Step 6: Final answer
    x = 1,200.69

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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.