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Finding the Fourth Proportional to 734.40, 961.20 and 734.40

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Solution

The fourth proportional to 734.40, 961.20 and 734.40 is: 961.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.40 : 961.20 = 734.40 : x
  2. Step 2: Convert to fraction form
    734.40/961.20 = 734.40/x
  3. Step 3: Cross multiply
    734.40x = 961.20 × 734.40
  4. Step 4: Simplify right side
    734.40x = 705,905.28
  5. Step 5: Solve for x
    x = 705,905.28/734.40
  6. Step 6: Final answer
    x = 961.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.