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Finding the Fourth Proportional to 731.53, 1,009.38 and 451.54

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Solution

The fourth proportional to 731.53, 1,009.38 and 451.54 is: 623.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.53 : 1,009.38 = 451.54 : x
  2. Step 2: Convert to fraction form
    731.53/1,009.38 = 451.54/x
  3. Step 3: Cross multiply
    731.53x = 1,009.38 × 451.54
  4. Step 4: Simplify right side
    731.53x = 455,775.45
  5. Step 5: Solve for x
    x = 455,775.45/731.53
  6. Step 6: Final answer
    x = 623.04

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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.