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Finding the Fourth Proportional to 738.34, 1,019.70 and 459.24

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Solution

The fourth proportional to 738.34, 1,019.70 and 459.24 is: 634.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.34 : 1,019.70 = 459.24 : x
  2. Step 2: Convert to fraction form
    738.34/1,019.70 = 459.24/x
  3. Step 3: Cross multiply
    738.34x = 1,019.70 × 459.24
  4. Step 4: Simplify right side
    738.34x = 468,287.03
  5. Step 5: Solve for x
    x = 468,287.03/738.34
  6. Step 6: Final answer
    x = 634.24

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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.