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Finding the Fourth Proportional to 1,107.47, 1,661.91 and 458.25

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Solution

The fourth proportional to 1,107.47, 1,661.91 and 458.25 is: 687.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,107.47 : 1,661.91 = 458.25 : x
  2. Step 2: Convert to fraction form
    1,107.47/1,661.91 = 458.25/x
  3. Step 3: Cross multiply
    1,107.47x = 1,661.91 × 458.25
  4. Step 4: Simplify right side
    1,107.47x = 761,570.26
  5. Step 5: Solve for x
    x = 761,570.26/1,107.47
  6. Step 6: Final answer
    x = 687.67

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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.