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Finding the Fourth Proportional to 873.58, 1,309.83 and 462.46

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Solution

The fourth proportional to 873.58, 1,309.83 and 462.46 is: 693.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.58 : 1,309.83 = 462.46 : x
  2. Step 2: Convert to fraction form
    873.58/1,309.83 = 462.46/x
  3. Step 3: Cross multiply
    873.58x = 1,309.83 × 462.46
  4. Step 4: Simplify right side
    873.58x = 605,743.98
  5. Step 5: Solve for x
    x = 605,743.98/873.58
  6. Step 6: Final answer
    x = 693.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.