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Finding the Fourth Proportional to 1,168.07, 1,752.09 and 290.57

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Solution

The fourth proportional to 1,168.07, 1,752.09 and 290.57 is: 435.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,168.07 : 1,752.09 = 290.57 : x
  2. Step 2: Convert to fraction form
    1,168.07/1,752.09 = 290.57/x
  3. Step 3: Cross multiply
    1,168.07x = 1,752.09 × 290.57
  4. Step 4: Simplify right side
    1,168.07x = 509,103.34
  5. Step 5: Solve for x
    x = 509,103.34/1,168.07
  6. Step 6: Final answer
    x = 435.85

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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.