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Finding the Fourth Proportional to 734.47, 1,013.51 and 439.63

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Solution

The fourth proportional to 734.47, 1,013.51 and 439.63 is: 606.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.47 : 1,013.51 = 439.63 : x
  2. Step 2: Convert to fraction form
    734.47/1,013.51 = 439.63/x
  3. Step 3: Cross multiply
    734.47x = 1,013.51 × 439.63
  4. Step 4: Simplify right side
    734.47x = 445,567.97
  5. Step 5: Solve for x
    x = 445,567.97/734.47
  6. Step 6: Final answer
    x = 606.65

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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.