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Finding the Fourth Proportional to 692, 954.24 and 496.08

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Solution

The fourth proportional to 692, 954.24 and 496.08 is: 684.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    692 : 954.24 = 496.08 : x
  2. Step 2: Convert to fraction form
    692/954.24 = 496.08/x
  3. Step 3: Cross multiply
    692x = 954.24 × 496.08
  4. Step 4: Simplify right side
    692x = 473,379.38
  5. Step 5: Solve for x
    x = 473,379.38/692
  6. Step 6: Final answer
    x = 684.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.