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Finding the Fourth Proportional to 1,457.99, 2,187.63 and 764.49

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Solution

The fourth proportional to 1,457.99, 2,187.63 and 764.49 is: 1,147.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,457.99 : 2,187.63 = 764.49 : x
  2. Step 2: Convert to fraction form
    1,457.99/2,187.63 = 764.49/x
  3. Step 3: Cross multiply
    1,457.99x = 2,187.63 × 764.49
  4. Step 4: Simplify right side
    1,457.99x = 1,672,429.46
  5. Step 5: Solve for x
    x = 1,672,429.46/1,457.99
  6. Step 6: Final answer
    x = 1,147.08

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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.