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Finding the Fourth Proportional to 1,142.60, 1,579.38 and 1,051.88

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Solution

The fourth proportional to 1,142.60, 1,579.38 and 1,051.88 is: 1,453.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142.60 : 1,579.38 = 1,051.88 : x
  2. Step 2: Convert to fraction form
    1,142.60/1,579.38 = 1,051.88/x
  3. Step 3: Cross multiply
    1,142.60x = 1,579.38 × 1,051.88
  4. Step 4: Simplify right side
    1,142.60x = 1,661,318.23
  5. Step 5: Solve for x
    x = 1,661,318.23/1,142.60
  6. Step 6: Final answer
    x = 1,453.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.