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Finding the Fourth Proportional to 699.51, 965.69 and 557.45

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Solution

The fourth proportional to 699.51, 965.69 and 557.45 is: 769.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.51 : 965.69 = 557.45 : x
  2. Step 2: Convert to fraction form
    699.51/965.69 = 557.45/x
  3. Step 3: Cross multiply
    699.51x = 965.69 × 557.45
  4. Step 4: Simplify right side
    699.51x = 538,323.89
  5. Step 5: Solve for x
    x = 538,323.89/699.51
  6. Step 6: Final answer
    x = 769.57

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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.