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Finding the Fourth Proportional to 689.83, 1,032.34 and 564.99

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Solution

The fourth proportional to 689.83, 1,032.34 and 564.99 is: 845.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.83 : 1,032.34 = 564.99 : x
  2. Step 2: Convert to fraction form
    689.83/1,032.34 = 564.99/x
  3. Step 3: Cross multiply
    689.83x = 1,032.34 × 564.99
  4. Step 4: Simplify right side
    689.83x = 583,261.78
  5. Step 5: Solve for x
    x = 583,261.78/689.83
  6. Step 6: Final answer
    x = 845.52

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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.