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Finding the Fourth Proportional to 962.30, 1,328.06 and 569.25

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Solution

The fourth proportional to 962.30, 1,328.06 and 569.25 is: 785.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.30 : 1,328.06 = 569.25 : x
  2. Step 2: Convert to fraction form
    962.30/1,328.06 = 569.25/x
  3. Step 3: Cross multiply
    962.30x = 1,328.06 × 569.25
  4. Step 4: Simplify right side
    962.30x = 755,999.58
  5. Step 5: Solve for x
    x = 755,999.58/962.30
  6. Step 6: Final answer
    x = 785.62

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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.