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Finding the Fourth Proportional to 692, 954.96 and 508.32

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Solution

The fourth proportional to 692, 954.96 and 508.32 is: 701.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    692 : 954.96 = 508.32 : x
  2. Step 2: Convert to fraction form
    692/954.96 = 508.32/x
  3. Step 3: Cross multiply
    692x = 954.96 × 508.32
  4. Step 4: Simplify right side
    692x = 485,425.27
  5. Step 5: Solve for x
    x = 485,425.27/692
  6. Step 6: Final answer
    x = 701.48

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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.