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Finding the Fourth Proportional to 962.62, 1,328.50 and 569.57

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Solution

The fourth proportional to 962.62, 1,328.50 and 569.57 is: 786.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.62 : 1,328.50 = 569.57 : x
  2. Step 2: Convert to fraction form
    962.62/1,328.50 = 569.57/x
  3. Step 3: Cross multiply
    962.62x = 1,328.50 × 569.57
  4. Step 4: Simplify right side
    962.62x = 756,673.75
  5. Step 5: Solve for x
    x = 756,673.75/962.62
  6. Step 6: Final answer
    x = 786.06

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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.