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Finding the Fourth Proportional to 702.76, 969.96 and 586.12

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Solution

The fourth proportional to 702.76, 969.96 and 586.12 is: 808.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.76 : 969.96 = 586.12 : x
  2. Step 2: Convert to fraction form
    702.76/969.96 = 586.12/x
  3. Step 3: Cross multiply
    702.76x = 969.96 × 586.12
  4. Step 4: Simplify right side
    702.76x = 568,512.96
  5. Step 5: Solve for x
    x = 568,512.96/702.76
  6. Step 6: Final answer
    x = 808.97

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1.5x scale

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.