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Finding the Fourth Proportional to 1,189.64, 1,783.09 and 458.81

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Solution

The fourth proportional to 1,189.64, 1,783.09 and 458.81 is: 687.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,189.64 : 1,783.09 = 458.81 : x
  2. Step 2: Convert to fraction form
    1,189.64/1,783.09 = 458.81/x
  3. Step 3: Cross multiply
    1,189.64x = 1,783.09 × 458.81
  4. Step 4: Simplify right side
    1,189.64x = 818,106.61
  5. Step 5: Solve for x
    x = 818,106.61/1,189.64
  6. Step 6: Final answer
    x = 687.69

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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.