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Finding the Fourth Proportional to 1,457.11, 2,187.02 and 591.49

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Solution

The fourth proportional to 1,457.11, 2,187.02 and 591.49 is: 887.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,457.11 : 2,187.02 = 591.49 : x
  2. Step 2: Convert to fraction form
    1,457.11/2,187.02 = 591.49/x
  3. Step 3: Cross multiply
    1,457.11x = 2,187.02 × 591.49
  4. Step 4: Simplify right side
    1,457.11x = 1,293,600.46
  5. Step 5: Solve for x
    x = 1,293,600.46/1,457.11
  6. Step 6: Final answer
    x = 887.79

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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.