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Finding the Fourth Proportional to 965.23, 1,331.59 and 572.04

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Solution

The fourth proportional to 965.23, 1,331.59 and 572.04 is: 789.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    965.23 : 1,331.59 = 572.04 : x
  2. Step 2: Convert to fraction form
    965.23/1,331.59 = 572.04/x
  3. Step 3: Cross multiply
    965.23x = 1,331.59 × 572.04
  4. Step 4: Simplify right side
    965.23x = 761,722.74
  5. Step 5: Solve for x
    x = 761,722.74/965.23
  6. Step 6: Final answer
    x = 789.16

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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.