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Finding the Fourth Proportional to 744.34, 1,027.15 and 412.75

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Solution

The fourth proportional to 744.34, 1,027.15 and 412.75 is: 569.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    744.34 : 1,027.15 = 412.75 : x
  2. Step 2: Convert to fraction form
    744.34/1,027.15 = 412.75/x
  3. Step 3: Cross multiply
    744.34x = 1,027.15 × 412.75
  4. Step 4: Simplify right side
    744.34x = 423,956.16
  5. Step 5: Solve for x
    x = 423,956.16/744.34
  6. Step 6: Final answer
    x = 569.57

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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.