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Finding the Fourth Proportional to 1,457.26, 2,186.54 and 763.77

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Solution

The fourth proportional to 1,457.26, 2,186.54 and 763.77 is: 1,145.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,457.26 : 2,186.54 = 763.77 : x
  2. Step 2: Convert to fraction form
    1,457.26/2,186.54 = 763.77/x
  3. Step 3: Cross multiply
    1,457.26x = 2,186.54 × 763.77
  4. Step 4: Simplify right side
    1,457.26x = 1,670,001.77
  5. Step 5: Solve for x
    x = 1,670,001.77/1,457.26
  6. Step 6: Final answer
    x = 1,145.99

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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.