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Finding the Fourth Proportional to 689.77, 949.95 and 572.25

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Solution

The fourth proportional to 689.77, 949.95 and 572.25 is: 788.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.77 : 949.95 = 572.25 : x
  2. Step 2: Convert to fraction form
    689.77/949.95 = 572.25/x
  3. Step 3: Cross multiply
    689.77x = 949.95 × 572.25
  4. Step 4: Simplify right side
    689.77x = 543,608.89
  5. Step 5: Solve for x
    x = 543,608.89/689.77
  6. Step 6: Final answer
    x = 788.10

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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.