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Finding the Fourth Proportional to 833, 1,149.62 and 465

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Solution

The fourth proportional to 833, 1,149.62 and 465 is: 641.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    833 : 1,149.62 = 465 : x
  2. Step 2: Convert to fraction form
    833/1,149.62 = 465/x
  3. Step 3: Cross multiply
    833x = 1,149.62 × 465
  4. Step 4: Simplify right side
    833x = 534,573.30
  5. Step 5: Solve for x
    x = 534,573.30/833
  6. Step 6: Final answer
    x = 641.74

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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.