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Finding the Fourth Proportional to 702.14, 966.75 and 577.40

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Solution

The fourth proportional to 702.14, 966.75 and 577.40 is: 795.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.14 : 966.75 = 577.40 : x
  2. Step 2: Convert to fraction form
    702.14/966.75 = 577.40/x
  3. Step 3: Cross multiply
    702.14x = 966.75 × 577.40
  4. Step 4: Simplify right side
    702.14x = 558,201.45
  5. Step 5: Solve for x
    x = 558,201.45/702.14
  6. Step 6: Final answer
    x = 795.00

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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.