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Finding the Fourth Proportional to 1,189.52, 1,783.76 and 458.56

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Solution

The fourth proportional to 1,189.52, 1,783.76 and 458.56 is: 687.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,189.52 : 1,783.76 = 458.56 : x
  2. Step 2: Convert to fraction form
    1,189.52/1,783.76 = 458.56/x
  3. Step 3: Cross multiply
    1,189.52x = 1,783.76 × 458.56
  4. Step 4: Simplify right side
    1,189.52x = 817,960.99
  5. Step 5: Solve for x
    x = 817,960.99/1,189.52
  6. Step 6: Final answer
    x = 687.64

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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.