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Finding the Fourth Proportional to 697.84, 1,045.95 and 466.54

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Solution

The fourth proportional to 697.84, 1,045.95 and 466.54 is: 699.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.84 : 1,045.95 = 466.54 : x
  2. Step 2: Convert to fraction form
    697.84/1,045.95 = 466.54/x
  3. Step 3: Cross multiply
    697.84x = 1,045.95 × 466.54
  4. Step 4: Simplify right side
    697.84x = 487,977.51
  5. Step 5: Solve for x
    x = 487,977.51/697.84
  6. Step 6: Final answer
    x = 699.27

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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.