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Finding the Fourth Proportional to 595.80, 821.97 and 544.77

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Solution

The fourth proportional to 595.80, 821.97 and 544.77 is: 751.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.80 : 821.97 = 544.77 : x
  2. Step 2: Convert to fraction form
    595.80/821.97 = 544.77/x
  3. Step 3: Cross multiply
    595.80x = 821.97 × 544.77
  4. Step 4: Simplify right side
    595.80x = 447,784.60
  5. Step 5: Solve for x
    x = 447,784.60/595.80
  6. Step 6: Final answer
    x = 751.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.