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Finding the Fourth Proportional to 737.38, 1,017.66 and 457.63

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Solution

The fourth proportional to 737.38, 1,017.66 and 457.63 is: 631.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    737.38 : 1,017.66 = 457.63 : x
  2. Step 2: Convert to fraction form
    737.38/1,017.66 = 457.63/x
  3. Step 3: Cross multiply
    737.38x = 1,017.66 × 457.63
  4. Step 4: Simplify right side
    737.38x = 465,711.75
  5. Step 5: Solve for x
    x = 465,711.75/737.38
  6. Step 6: Final answer
    x = 631.58

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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.