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Finding the Fourth Proportional to 734.10, 1,014.48 and 709.44

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Solution

The fourth proportional to 734.10, 1,014.48 and 709.44 is: 980.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.10 : 1,014.48 = 709.44 : x
  2. Step 2: Convert to fraction form
    734.10/1,014.48 = 709.44/x
  3. Step 3: Cross multiply
    734.10x = 1,014.48 × 709.44
  4. Step 4: Simplify right side
    734.10x = 719,712.69
  5. Step 5: Solve for x
    x = 719,712.69/734.10
  6. Step 6: Final answer
    x = 980.40

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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.