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Finding the Fourth Proportional to 679.36, 1,018.32 and 564.16

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Solution

The fourth proportional to 679.36, 1,018.32 and 564.16 is: 845.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    679.36 : 1,018.32 = 564.16 : x
  2. Step 2: Convert to fraction form
    679.36/1,018.32 = 564.16/x
  3. Step 3: Cross multiply
    679.36x = 1,018.32 × 564.16
  4. Step 4: Simplify right side
    679.36x = 574,495.41
  5. Step 5: Solve for x
    x = 574,495.41/679.36
  6. Step 6: Final answer
    x = 845.64

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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.