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Finding the Fourth Proportional to 1,141.62, 1,575.43 and 617.65

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Solution

The fourth proportional to 1,141.62, 1,575.43 and 617.65 is: 852.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,141.62 : 1,575.43 = 617.65 : x
  2. Step 2: Convert to fraction form
    1,141.62/1,575.43 = 617.65/x
  3. Step 3: Cross multiply
    1,141.62x = 1,575.43 × 617.65
  4. Step 4: Simplify right side
    1,141.62x = 973,064.34
  5. Step 5: Solve for x
    x = 973,064.34/1,141.62
  6. Step 6: Final answer
    x = 852.35

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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.