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Finding the Fourth Proportional to 740.56, 1,110.95 and 253.49

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Solution

The fourth proportional to 740.56, 1,110.95 and 253.49 is: 380.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    740.56 : 1,110.95 = 253.49 : x
  2. Step 2: Convert to fraction form
    740.56/1,110.95 = 253.49/x
  3. Step 3: Cross multiply
    740.56x = 1,110.95 × 253.49
  4. Step 4: Simplify right side
    740.56x = 281,614.72
  5. Step 5: Solve for x
    x = 281,614.72/740.56
  6. Step 6: Final answer
    x = 380.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.