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Finding the Fourth Proportional to 1,507.19, 2,261.63 and 630.33

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Solution

The fourth proportional to 1,507.19, 2,261.63 and 630.33 is: 945.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,507.19 : 2,261.63 = 630.33 : x
  2. Step 2: Convert to fraction form
    1,507.19/2,261.63 = 630.33/x
  3. Step 3: Cross multiply
    1,507.19x = 2,261.63 × 630.33
  4. Step 4: Simplify right side
    1,507.19x = 1,425,570.09
  5. Step 5: Solve for x
    x = 1,425,570.09/1,507.19
  6. Step 6: Final answer
    x = 945.85

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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.