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Finding the Fourth Proportional to 1,507.55, 2,261.97 and 814.08

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Solution

The fourth proportional to 1,507.55, 2,261.97 and 814.08 is: 1,221.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,507.55 : 2,261.97 = 814.08 : x
  2. Step 2: Convert to fraction form
    1,507.55/2,261.97 = 814.08/x
  3. Step 3: Cross multiply
    1,507.55x = 2,261.97 × 814.08
  4. Step 4: Simplify right side
    1,507.55x = 1,841,427.59
  5. Step 5: Solve for x
    x = 1,841,427.59/1,507.55
  6. Step 6: Final answer
    x = 1,221.47

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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.