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Finding the Fourth Proportional to 1,142.30, 1,575.61 and 694.04

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Solution

The fourth proportional to 1,142.30, 1,575.61 and 694.04 is: 957.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142.30 : 1,575.61 = 694.04 : x
  2. Step 2: Convert to fraction form
    1,142.30/1,575.61 = 694.04/x
  3. Step 3: Cross multiply
    1,142.30x = 1,575.61 × 694.04
  4. Step 4: Simplify right side
    1,142.30x = 1,093,526.75
  5. Step 5: Solve for x
    x = 1,093,526.75/1,142.30
  6. Step 6: Final answer
    x = 957.30

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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.