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Finding the Fourth Proportional to 1,459.71, 2,189.53 and 419.72

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Solution

The fourth proportional to 1,459.71, 2,189.53 and 419.72 is: 629.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,459.71 : 2,189.53 = 419.72 : x
  2. Step 2: Convert to fraction form
    1,459.71/2,189.53 = 419.72/x
  3. Step 3: Cross multiply
    1,459.71x = 2,189.53 × 419.72
  4. Step 4: Simplify right side
    1,459.71x = 918,978.58
  5. Step 5: Solve for x
    x = 918,978.58/1,459.71
  6. Step 6: Final answer
    x = 629.56

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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.