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Finding the Fourth Proportional to 594.92, 893.02 and 557.80

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Solution

The fourth proportional to 594.92, 893.02 and 557.80 is: 837.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.92 : 893.02 = 557.80 : x
  2. Step 2: Convert to fraction form
    594.92/893.02 = 557.80/x
  3. Step 3: Cross multiply
    594.92x = 893.02 × 557.80
  4. Step 4: Simplify right side
    594.92x = 498,126.56
  5. Step 5: Solve for x
    x = 498,126.56/594.92
  6. Step 6: Final answer
    x = 837.30

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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.