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Finding the Fourth Proportional to 1,494.72, 2,242.08 and 870.21

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Solution

The fourth proportional to 1,494.72, 2,242.08 and 870.21 is: 1,305.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,494.72 : 2,242.08 = 870.21 : x
  2. Step 2: Convert to fraction form
    1,494.72/2,242.08 = 870.21/x
  3. Step 3: Cross multiply
    1,494.72x = 2,242.08 × 870.21
  4. Step 4: Simplify right side
    1,494.72x = 1,951,080.44
  5. Step 5: Solve for x
    x = 1,951,080.44/1,494.72
  6. Step 6: Final answer
    x = 1,305.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.