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Finding the Fourth Proportional to 564.69, 844.69 and 530.13

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Solution

The fourth proportional to 564.69, 844.69 and 530.13 is: 792.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.69 : 844.69 = 530.13 : x
  2. Step 2: Convert to fraction form
    564.69/844.69 = 530.13/x
  3. Step 3: Cross multiply
    564.69x = 844.69 × 530.13
  4. Step 4: Simplify right side
    564.69x = 447,789.96
  5. Step 5: Solve for x
    x = 447,789.96/564.69
  6. Step 6: Final answer
    x = 792.99

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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.