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Finding the Fourth Proportional to 595.15, 890.70 and 546.55

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Solution

The fourth proportional to 595.15, 890.70 and 546.55 is: 817.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.15 : 890.70 = 546.55 : x
  2. Step 2: Convert to fraction form
    595.15/890.70 = 546.55/x
  3. Step 3: Cross multiply
    595.15x = 890.70 × 546.55
  4. Step 4: Simplify right side
    595.15x = 486,812.09
  5. Step 5: Solve for x
    x = 486,812.09/595.15
  6. Step 6: Final answer
    x = 817.97

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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.