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Finding the Fourth Proportional to 737.47, 1,106.43 and 459.64

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Solution

The fourth proportional to 737.47, 1,106.43 and 459.64 is: 689.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    737.47 : 1,106.43 = 459.64 : x
  2. Step 2: Convert to fraction form
    737.47/1,106.43 = 459.64/x
  3. Step 3: Cross multiply
    737.47x = 1,106.43 × 459.64
  4. Step 4: Simplify right side
    737.47x = 508,559.49
  5. Step 5: Solve for x
    x = 508,559.49/737.47
  6. Step 6: Final answer
    x = 689.60

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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.