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Finding the Fourth Proportional to 789.34, 1,089.66 and 524.20

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Solution

The fourth proportional to 789.34, 1,089.66 and 524.20 is: 723.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.34 : 1,089.66 = 524.20 : x
  2. Step 2: Convert to fraction form
    789.34/1,089.66 = 524.20/x
  3. Step 3: Cross multiply
    789.34x = 1,089.66 × 524.20
  4. Step 4: Simplify right side
    789.34x = 571,199.77
  5. Step 5: Solve for x
    x = 571,199.77/789.34
  6. Step 6: Final answer
    x = 723.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.