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Finding the Fourth Proportional to 1,459.27, 2,187.53 and 678.88

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Solution

The fourth proportional to 1,459.27, 2,187.53 and 678.88 is: 1,017.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,459.27 : 2,187.53 = 678.88 : x
  2. Step 2: Convert to fraction form
    1,459.27/2,187.53 = 678.88/x
  3. Step 3: Cross multiply
    1,459.27x = 2,187.53 × 678.88
  4. Step 4: Simplify right side
    1,459.27x = 1,485,074.16
  5. Step 5: Solve for x
    x = 1,485,074.16/1,459.27
  6. Step 6: Final answer
    x = 1,017.68

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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.