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Finding the Fourth Proportional to 564.02, 844.68 and 545.93

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Solution

The fourth proportional to 564.02, 844.68 and 545.93 is: 817.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.02 : 844.68 = 545.93 : x
  2. Step 2: Convert to fraction form
    564.02/844.68 = 545.93/x
  3. Step 3: Cross multiply
    564.02x = 844.68 × 545.93
  4. Step 4: Simplify right side
    564.02x = 461,136.15
  5. Step 5: Solve for x
    x = 461,136.15/564.02
  6. Step 6: Final answer
    x = 817.59

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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.