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Finding the Fourth Proportional to 920.02, 1,379.90 and 545

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Solution

The fourth proportional to 920.02, 1,379.90 and 545 is: 817.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.02 : 1,379.90 = 545 : x
  2. Step 2: Convert to fraction form
    920.02/1,379.90 = 545/x
  3. Step 3: Cross multiply
    920.02x = 1,379.90 × 545
  4. Step 4: Simplify right side
    920.02x = 752,045.50
  5. Step 5: Solve for x
    x = 752,045.50/920.02
  6. Step 6: Final answer
    x = 817.42

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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.