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Finding the Fourth Proportional to 715.30, 1,071.96 and 541.82

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Solution

The fourth proportional to 715.30, 1,071.96 and 541.82 is: 811.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.30 : 1,071.96 = 541.82 : x
  2. Step 2: Convert to fraction form
    715.30/1,071.96 = 541.82/x
  3. Step 3: Cross multiply
    715.30x = 1,071.96 × 541.82
  4. Step 4: Simplify right side
    715.30x = 580,809.37
  5. Step 5: Solve for x
    x = 580,809.37/715.30
  6. Step 6: Final answer
    x = 811.98

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Why These Related Problems?

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