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Finding the Fourth Proportional to 693.07, 954.25 and 587.94

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Solution

The fourth proportional to 693.07, 954.25 and 587.94 is: 809.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.07 : 954.25 = 587.94 : x
  2. Step 2: Convert to fraction form
    693.07/954.25 = 587.94/x
  3. Step 3: Cross multiply
    693.07x = 954.25 × 587.94
  4. Step 4: Simplify right side
    693.07x = 561,036.70
  5. Step 5: Solve for x
    x = 561,036.70/693.07
  6. Step 6: Final answer
    x = 809.50

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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.