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Finding the Fourth Proportional to 738.37, 1,019.01 and 502.39

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Solution

The fourth proportional to 738.37, 1,019.01 and 502.39 is: 693.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.37 : 1,019.01 = 502.39 : x
  2. Step 2: Convert to fraction form
    738.37/1,019.01 = 502.39/x
  3. Step 3: Cross multiply
    738.37x = 1,019.01 × 502.39
  4. Step 4: Simplify right side
    738.37x = 511,940.43
  5. Step 5: Solve for x
    x = 511,940.43/738.37
  6. Step 6: Final answer
    x = 693.34

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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.