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Finding the Fourth Proportional to 965.10, 1,331.83 and 523

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Solution

The fourth proportional to 965.10, 1,331.83 and 523 is: 721.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    965.10 : 1,331.83 = 523 : x
  2. Step 2: Convert to fraction form
    965.10/1,331.83 = 523/x
  3. Step 3: Cross multiply
    965.10x = 1,331.83 × 523
  4. Step 4: Simplify right side
    965.10x = 696,547.09
  5. Step 5: Solve for x
    x = 696,547.09/965.10
  6. Step 6: Final answer
    x = 721.74

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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.