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Finding the Fourth Proportional to 873.30, 1,205.70 and 541.92

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Solution

The fourth proportional to 873.30, 1,205.70 and 541.92 is: 748.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.30 : 1,205.70 = 541.92 : x
  2. Step 2: Convert to fraction form
    873.30/1,205.70 = 541.92/x
  3. Step 3: Cross multiply
    873.30x = 1,205.70 × 541.92
  4. Step 4: Simplify right side
    873.30x = 653,392.94
  5. Step 5: Solve for x
    x = 653,392.94/873.30
  6. Step 6: Final answer
    x = 748.19

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