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Finding the Fourth Proportional to 738.12, 1,105.35 and 429.04

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Solution

The fourth proportional to 738.12, 1,105.35 and 429.04 is: 642.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.12 : 1,105.35 = 429.04 : x
  2. Step 2: Convert to fraction form
    738.12/1,105.35 = 429.04/x
  3. Step 3: Cross multiply
    738.12x = 1,105.35 × 429.04
  4. Step 4: Simplify right side
    738.12x = 474,236.60
  5. Step 5: Solve for x
    x = 474,236.60/738.12
  6. Step 6: Final answer
    x = 642.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.