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Finding the Fourth Proportional to 734.02, 1,012.57 and 438.77

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Solution

The fourth proportional to 734.02, 1,012.57 and 438.77 is: 605.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.02 : 1,012.57 = 438.77 : x
  2. Step 2: Convert to fraction form
    734.02/1,012.57 = 438.77/x
  3. Step 3: Cross multiply
    734.02x = 1,012.57 × 438.77
  4. Step 4: Simplify right side
    734.02x = 444,286.77
  5. Step 5: Solve for x
    x = 444,286.77/734.02
  6. Step 6: Final answer
    x = 605.28

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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.