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Finding the Fourth Proportional to 689.96, 1,035.62 and 561.47

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Solution

The fourth proportional to 689.96, 1,035.62 and 561.47 is: 842.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.96 : 1,035.62 = 561.47 : x
  2. Step 2: Convert to fraction form
    689.96/1,035.62 = 561.47/x
  3. Step 3: Cross multiply
    689.96x = 1,035.62 × 561.47
  4. Step 4: Simplify right side
    689.96x = 581,473.55
  5. Step 5: Solve for x
    x = 581,473.55/689.96
  6. Step 6: Final answer
    x = 842.76

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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.