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Finding the Fourth Proportional to 889.32, 1,332.59 and 564

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Solution

The fourth proportional to 889.32, 1,332.59 and 564 is: 845.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    889.32 : 1,332.59 = 564 : x
  2. Step 2: Convert to fraction form
    889.32/1,332.59 = 564/x
  3. Step 3: Cross multiply
    889.32x = 1,332.59 × 564
  4. Step 4: Simplify right side
    889.32x = 751,577.94
  5. Step 5: Solve for x
    x = 751,577.94/889.32
  6. Step 6: Final answer
    x = 845.12

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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.