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Finding the Fourth Proportional to 693.71, 956.63 and 588.68

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Solution

The fourth proportional to 693.71, 956.63 and 588.68 is: 811.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.71 : 956.63 = 588.68 : x
  2. Step 2: Convert to fraction form
    693.71/956.63 = 588.68/x
  3. Step 3: Cross multiply
    693.71x = 956.63 × 588.68
  4. Step 4: Simplify right side
    693.71x = 563,145.64
  5. Step 5: Solve for x
    x = 563,145.64/693.71
  6. Step 6: Final answer
    x = 811.79

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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.