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Finding the Fourth Proportional to 702.07, 968.16 and 577.60

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Solution

The fourth proportional to 702.07, 968.16 and 577.60 is: 796.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.07 : 968.16 = 577.60 : x
  2. Step 2: Convert to fraction form
    702.07/968.16 = 577.60/x
  3. Step 3: Cross multiply
    702.07x = 968.16 × 577.60
  4. Step 4: Simplify right side
    702.07x = 559,209.22
  5. Step 5: Solve for x
    x = 559,209.22/702.07
  6. Step 6: Final answer
    x = 796.51

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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.