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Finding the Fourth Proportional to 702.40, 969.62 and 453.84

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Solution

The fourth proportional to 702.40, 969.62 and 453.84 is: 626.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.40 : 969.62 = 453.84 : x
  2. Step 2: Convert to fraction form
    702.40/969.62 = 453.84/x
  3. Step 3: Cross multiply
    702.40x = 969.62 × 453.84
  4. Step 4: Simplify right side
    702.40x = 440,048.78
  5. Step 5: Solve for x
    x = 440,048.78/702.40
  6. Step 6: Final answer
    x = 626.50

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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.