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Finding the Fourth Proportional to 697.09, 1,045.58 and 423.11

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Solution

The fourth proportional to 697.09, 1,045.58 and 423.11 is: 634.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.09 : 1,045.58 = 423.11 : x
  2. Step 2: Convert to fraction form
    697.09/1,045.58 = 423.11/x
  3. Step 3: Cross multiply
    697.09x = 1,045.58 × 423.11
  4. Step 4: Simplify right side
    697.09x = 442,389.97
  5. Step 5: Solve for x
    x = 442,389.97/697.09
  6. Step 6: Final answer
    x = 634.62

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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.