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Finding the Fourth Proportional to 821, 1,130.74 and 763.60

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Solution

The fourth proportional to 821, 1,130.74 and 763.60 is: 1,051.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    821 : 1,130.74 = 763.60 : x
  2. Step 2: Convert to fraction form
    821/1,130.74 = 763.60/x
  3. Step 3: Cross multiply
    821x = 1,130.74 × 763.60
  4. Step 4: Simplify right side
    821x = 863,433.06
  5. Step 5: Solve for x
    x = 863,433.06/821
  6. Step 6: Final answer
    x = 1,051.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.