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Finding the Fourth Proportional to 702.12, 969.06 and 440.76

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Solution

The fourth proportional to 702.12, 969.06 and 440.76 is: 608.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.12 : 969.06 = 440.76 : x
  2. Step 2: Convert to fraction form
    702.12/969.06 = 440.76/x
  3. Step 3: Cross multiply
    702.12x = 969.06 × 440.76
  4. Step 4: Simplify right side
    702.12x = 427,122.89
  5. Step 5: Solve for x
    x = 427,122.89/702.12
  6. Step 6: Final answer
    x = 608.33

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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.