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Finding the Fourth Proportional to 1,107.41, 1,661.57 and 588

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Solution

The fourth proportional to 1,107.41, 1,661.57 and 588 is: 882.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,107.41 : 1,661.57 = 588 : x
  2. Step 2: Convert to fraction form
    1,107.41/1,661.57 = 588/x
  3. Step 3: Cross multiply
    1,107.41x = 1,661.57 × 588
  4. Step 4: Simplify right side
    1,107.41x = 977,003.16
  5. Step 5: Solve for x
    x = 977,003.16/1,107.41
  6. Step 6: Final answer
    x = 882.24

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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.