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Finding the Fourth Proportional to 690.90, 954.70 and 504.96

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Solution

The fourth proportional to 690.90, 954.70 and 504.96 is: 697.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.90 : 954.70 = 504.96 : x
  2. Step 2: Convert to fraction form
    690.90/954.70 = 504.96/x
  3. Step 3: Cross multiply
    690.90x = 954.70 × 504.96
  4. Step 4: Simplify right side
    690.90x = 482,085.31
  5. Step 5: Solve for x
    x = 482,085.31/690.90
  6. Step 6: Final answer
    x = 697.76

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