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Finding the Fourth Proportional to 804, 1,109.64 and 493.68

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Solution

The fourth proportional to 804, 1,109.64 and 493.68 is: 681.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    804 : 1,109.64 = 493.68 : x
  2. Step 2: Convert to fraction form
    804/1,109.64 = 493.68/x
  3. Step 3: Cross multiply
    804x = 1,109.64 × 493.68
  4. Step 4: Simplify right side
    804x = 547,807.08
  5. Step 5: Solve for x
    x = 547,807.08/804
  6. Step 6: Final answer
    x = 681.35

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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.