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Finding the Fourth Proportional to 1,507.58, 2,080.49 and 844.43

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Solution

The fourth proportional to 1,507.58, 2,080.49 and 844.43 is: 1,165.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,507.58 : 2,080.49 = 844.43 : x
  2. Step 2: Convert to fraction form
    1,507.58/2,080.49 = 844.43/x
  3. Step 3: Cross multiply
    1,507.58x = 2,080.49 × 844.43
  4. Step 4: Simplify right side
    1,507.58x = 1,756,813.55
  5. Step 5: Solve for x
    x = 1,756,813.55/1,507.58
  6. Step 6: Final answer
    x = 1,165.32

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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.