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Finding the Fourth Proportional to 697.78, 1,045.35 and 465.97

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Solution

The fourth proportional to 697.78, 1,045.35 and 465.97 is: 698.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.78 : 1,045.35 = 465.97 : x
  2. Step 2: Convert to fraction form
    697.78/1,045.35 = 465.97/x
  3. Step 3: Cross multiply
    697.78x = 1,045.35 × 465.97
  4. Step 4: Simplify right side
    697.78x = 487,101.74
  5. Step 5: Solve for x
    x = 487,101.74/697.78
  6. Step 6: Final answer
    x = 698.07

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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.