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Finding the Fourth Proportional to 632.68, 947.67 and 589.96

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Solution

The fourth proportional to 632.68, 947.67 and 589.96 is: 883.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.68 : 947.67 = 589.96 : x
  2. Step 2: Convert to fraction form
    632.68/947.67 = 589.96/x
  3. Step 3: Cross multiply
    632.68x = 947.67 × 589.96
  4. Step 4: Simplify right side
    632.68x = 559,087.39
  5. Step 5: Solve for x
    x = 559,087.39/632.68
  6. Step 6: Final answer
    x = 883.68

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Why These Related Problems?

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