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Finding the Fourth Proportional to 962.50, 1,327.64 and 569.25

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Solution

The fourth proportional to 962.50, 1,327.64 and 569.25 is: 785.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.50 : 1,327.64 = 569.25 : x
  2. Step 2: Convert to fraction form
    962.50/1,327.64 = 569.25/x
  3. Step 3: Cross multiply
    962.50x = 1,327.64 × 569.25
  4. Step 4: Simplify right side
    962.50x = 755,749.59
  5. Step 5: Solve for x
    x = 755,749.59/962.50
  6. Step 6: Final answer
    x = 785.19

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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.