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Finding the Fourth Proportional to 743.44, 1,026.20 and 433.20

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Solution

The fourth proportional to 743.44, 1,026.20 and 433.20 is: 597.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.44 : 1,026.20 = 433.20 : x
  2. Step 2: Convert to fraction form
    743.44/1,026.20 = 433.20/x
  3. Step 3: Cross multiply
    743.44x = 1,026.20 × 433.20
  4. Step 4: Simplify right side
    743.44x = 444,549.84
  5. Step 5: Solve for x
    x = 444,549.84/743.44
  6. Step 6: Final answer
    x = 597.96

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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.