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Finding the Fourth Proportional to 594.68, 890.93 and 537.27

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Solution

The fourth proportional to 594.68, 890.93 and 537.27 is: 804.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.68 : 890.93 = 537.27 : x
  2. Step 2: Convert to fraction form
    594.68/890.93 = 537.27/x
  3. Step 3: Cross multiply
    594.68x = 890.93 × 537.27
  4. Step 4: Simplify right side
    594.68x = 478,669.96
  5. Step 5: Solve for x
    x = 478,669.96/594.68
  6. Step 6: Final answer
    x = 804.92

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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.