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Finding the Fourth Proportional to 1,507.94, 2,260.35 and 630.95

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Solution

The fourth proportional to 1,507.94, 2,260.35 and 630.95 is: 945.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,507.94 : 2,260.35 = 630.95 : x
  2. Step 2: Convert to fraction form
    1,507.94/2,260.35 = 630.95/x
  3. Step 3: Cross multiply
    1,507.94x = 2,260.35 × 630.95
  4. Step 4: Simplify right side
    1,507.94x = 1,426,175.85
  5. Step 5: Solve for x
    x = 1,426,175.85/1,507.94
  6. Step 6: Final answer
    x = 945.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.