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Finding the Fourth Proportional to 684.94, 942.96 and 592.87

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Solution

The fourth proportional to 684.94, 942.96 and 592.87 is: 816.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.94 : 942.96 = 592.87 : x
  2. Step 2: Convert to fraction form
    684.94/942.96 = 592.87/x
  3. Step 3: Cross multiply
    684.94x = 942.96 × 592.87
  4. Step 4: Simplify right side
    684.94x = 559,052.70
  5. Step 5: Solve for x
    x = 559,052.70/684.94
  6. Step 6: Final answer
    x = 816.21

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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.