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Finding the Fourth Proportional to 734.08, 1,012.96 and 423.52

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Solution

The fourth proportional to 734.08, 1,012.96 and 423.52 is: 584.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.08 : 1,012.96 = 423.52 : x
  2. Step 2: Convert to fraction form
    734.08/1,012.96 = 423.52/x
  3. Step 3: Cross multiply
    734.08x = 1,012.96 × 423.52
  4. Step 4: Simplify right side
    734.08x = 429,008.82
  5. Step 5: Solve for x
    x = 429,008.82/734.08
  6. Step 6: Final answer
    x = 584.42

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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.