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Finding the Fourth Proportional to 689.37, 1,032.33 and 364.02

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Solution

The fourth proportional to 689.37, 1,032.33 and 364.02 is: 545.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.37 : 1,032.33 = 364.02 : x
  2. Step 2: Convert to fraction form
    689.37/1,032.33 = 364.02/x
  3. Step 3: Cross multiply
    689.37x = 1,032.33 × 364.02
  4. Step 4: Simplify right side
    689.37x = 375,788.77
  5. Step 5: Solve for x
    x = 375,788.77/689.37
  6. Step 6: Final answer
    x = 545.12

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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.