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Finding the Fourth Proportional to 595.26, 893.67 and 514.05

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Solution

The fourth proportional to 595.26, 893.67 and 514.05 is: 771.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.26 : 893.67 = 514.05 : x
  2. Step 2: Convert to fraction form
    595.26/893.67 = 514.05/x
  3. Step 3: Cross multiply
    595.26x = 893.67 × 514.05
  4. Step 4: Simplify right side
    595.26x = 459,391.06
  5. Step 5: Solve for x
    x = 459,391.06/595.26
  6. Step 6: Final answer
    x = 771.75

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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.