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Finding the Fourth Proportional to 699.77, 964.89 and 552.75

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Solution

The fourth proportional to 699.77, 964.89 and 552.75 is: 762.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.77 : 964.89 = 552.75 : x
  2. Step 2: Convert to fraction form
    699.77/964.89 = 552.75/x
  3. Step 3: Cross multiply
    699.77x = 964.89 × 552.75
  4. Step 4: Simplify right side
    699.77x = 533,342.95
  5. Step 5: Solve for x
    x = 533,342.95/699.77
  6. Step 6: Final answer
    x = 762.17

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1.5x scale

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.