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Finding the Fourth Proportional to 873.80, 1,310.88 and 386.92

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Solution

The fourth proportional to 873.80, 1,310.88 and 386.92 is: 580.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.80 : 1,310.88 = 386.92 : x
  2. Step 2: Convert to fraction form
    873.80/1,310.88 = 386.92/x
  3. Step 3: Cross multiply
    873.80x = 1,310.88 × 386.92
  4. Step 4: Simplify right side
    873.80x = 507,205.69
  5. Step 5: Solve for x
    x = 507,205.69/873.80
  6. Step 6: Final answer
    x = 580.46

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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.