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Finding the Fourth Proportional to 595.80, 893.14 and 531

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Solution

The fourth proportional to 595.80, 893.14 and 531 is: 796.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.80 : 893.14 = 531 : x
  2. Step 2: Convert to fraction form
    595.80/893.14 = 531/x
  3. Step 3: Cross multiply
    595.80x = 893.14 × 531
  4. Step 4: Simplify right side
    595.80x = 474,257.34
  5. Step 5: Solve for x
    x = 474,257.34/595.80
  6. Step 6: Final answer
    x = 796.00

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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.