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Finding the Fourth Proportional to 1,568.79, 2,165.12 and 870.21

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Solution

The fourth proportional to 1,568.79, 2,165.12 and 870.21 is: 1,200.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,568.79 : 2,165.12 = 870.21 : x
  2. Step 2: Convert to fraction form
    1,568.79/2,165.12 = 870.21/x
  3. Step 3: Cross multiply
    1,568.79x = 2,165.12 × 870.21
  4. Step 4: Simplify right side
    1,568.79x = 1,884,104.72
  5. Step 5: Solve for x
    x = 1,884,104.72/1,568.79
  6. Step 6: Final answer
    x = 1,200.99

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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.