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Finding the Fourth Proportional to 693.32, 1,038.76 and 617.99

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Solution

The fourth proportional to 693.32, 1,038.76 and 617.99 is: 925.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.32 : 1,038.76 = 617.99 : x
  2. Step 2: Convert to fraction form
    693.32/1,038.76 = 617.99/x
  3. Step 3: Cross multiply
    693.32x = 1,038.76 × 617.99
  4. Step 4: Simplify right side
    693.32x = 641,935.01
  5. Step 5: Solve for x
    x = 641,935.01/693.32
  6. Step 6: Final answer
    x = 925.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.