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Finding the Fourth Proportional to 783.44, 1,175.64 and 459.44

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Solution

The fourth proportional to 783.44, 1,175.64 and 459.44 is: 689.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.44 : 1,175.64 = 459.44 : x
  2. Step 2: Convert to fraction form
    783.44/1,175.64 = 459.44/x
  3. Step 3: Cross multiply
    783.44x = 1,175.64 × 459.44
  4. Step 4: Simplify right side
    783.44x = 540,136.04
  5. Step 5: Solve for x
    x = 540,136.04/783.44
  6. Step 6: Final answer
    x = 689.44

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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.