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Finding the Fourth Proportional to 645.57, 966.53 and 594.54

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Solution

The fourth proportional to 645.57, 966.53 and 594.54 is: 890.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.57 : 966.53 = 594.54 : x
  2. Step 2: Convert to fraction form
    645.57/966.53 = 594.54/x
  3. Step 3: Cross multiply
    645.57x = 966.53 × 594.54
  4. Step 4: Simplify right side
    645.57x = 574,642.23
  5. Step 5: Solve for x
    x = 574,642.23/645.57
  6. Step 6: Final answer
    x = 890.13

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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.