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Finding the Fourth Proportional to 697.65, 1,045.86 and 264.52

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Solution

The fourth proportional to 697.65, 1,045.86 and 264.52 is: 396.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.65 : 1,045.86 = 264.52 : x
  2. Step 2: Convert to fraction form
    697.65/1,045.86 = 264.52/x
  3. Step 3: Cross multiply
    697.65x = 1,045.86 × 264.52
  4. Step 4: Simplify right side
    697.65x = 276,650.89
  5. Step 5: Solve for x
    x = 276,650.89/697.65
  6. Step 6: Final answer
    x = 396.55

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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.