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Finding the Fourth Proportional to 1,507.86, 2,261.49 and 411.94

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Solution

The fourth proportional to 1,507.86, 2,261.49 and 411.94 is: 617.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,507.86 : 2,261.49 = 411.94 : x
  2. Step 2: Convert to fraction form
    1,507.86/2,261.49 = 411.94/x
  3. Step 3: Cross multiply
    1,507.86x = 2,261.49 × 411.94
  4. Step 4: Simplify right side
    1,507.86x = 931,598.19
  5. Step 5: Solve for x
    x = 931,598.19/1,507.86
  6. Step 6: Final answer
    x = 617.83

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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.