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Finding the Fourth Proportional to 1,507.49, 2,080.33 and 844.35

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Solution

The fourth proportional to 1,507.49, 2,080.33 and 844.35 is: 1,165.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,507.49 : 2,080.33 = 844.35 : x
  2. Step 2: Convert to fraction form
    1,507.49/2,080.33 = 844.35/x
  3. Step 3: Cross multiply
    1,507.49x = 2,080.33 × 844.35
  4. Step 4: Simplify right side
    1,507.49x = 1,756,516.72
  5. Step 5: Solve for x
    x = 1,756,516.72/1,507.49
  6. Step 6: Final answer
    x = 1,165.19

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Double scale
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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.