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Finding the Fourth Proportional to 696.72, 1,045.08 and 257.76

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Solution

The fourth proportional to 696.72, 1,045.08 and 257.76 is: 386.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.72 : 1,045.08 = 257.76 : x
  2. Step 2: Convert to fraction form
    696.72/1,045.08 = 257.76/x
  3. Step 3: Cross multiply
    696.72x = 1,045.08 × 257.76
  4. Step 4: Simplify right side
    696.72x = 269,379.82
  5. Step 5: Solve for x
    x = 269,379.82/696.72
  6. Step 6: Final answer
    x = 386.64

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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.