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Finding the Fourth Proportional to 804.47, 1,199.88 and 681.89

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Solution

The fourth proportional to 804.47, 1,199.88 and 681.89 is: 1,017.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.47 : 1,199.88 = 681.89 : x
  2. Step 2: Convert to fraction form
    804.47/1,199.88 = 681.89/x
  3. Step 3: Cross multiply
    804.47x = 1,199.88 × 681.89
  4. Step 4: Simplify right side
    804.47x = 818,180.17
  5. Step 5: Solve for x
    x = 818,180.17/804.47
  6. Step 6: Final answer
    x = 1,017.05

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.