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Finding the Fourth Proportional to 595.05, 820.73 and 575.00

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Solution

The fourth proportional to 595.05, 820.73 and 575.00 is: 793.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.05 : 820.73 = 575.00 : x
  2. Step 2: Convert to fraction form
    595.05/820.73 = 575.00/x
  3. Step 3: Cross multiply
    595.05x = 820.73 × 575.00
  4. Step 4: Simplify right side
    595.05x = 471,920.16
  5. Step 5: Solve for x
    x = 471,920.16/595.05
  6. Step 6: Final answer
    x = 793.08

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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.