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Finding the Fourth Proportional to 1,457.85, 2,186.54 and 677.82

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Solution

The fourth proportional to 1,457.85, 2,186.54 and 677.82 is: 1,016.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,457.85 : 2,186.54 = 677.82 : x
  2. Step 2: Convert to fraction form
    1,457.85/2,186.54 = 677.82/x
  3. Step 3: Cross multiply
    1,457.85x = 2,186.54 × 677.82
  4. Step 4: Simplify right side
    1,457.85x = 1,482,077.15
  5. Step 5: Solve for x
    x = 1,482,077.15/1,457.85
  6. Step 6: Final answer
    x = 1,016.62

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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.