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Finding the Fourth Proportional to 1,501.88, 2,253.10 and 461.86

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Solution

The fourth proportional to 1,501.88, 2,253.10 and 461.86 is: 692.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,501.88 : 2,253.10 = 461.86 : x
  2. Step 2: Convert to fraction form
    1,501.88/2,253.10 = 461.86/x
  3. Step 3: Cross multiply
    1,501.88x = 2,253.10 × 461.86
  4. Step 4: Simplify right side
    1,501.88x = 1,040,616.77
  5. Step 5: Solve for x
    x = 1,040,616.77/1,501.88
  6. Step 6: Final answer
    x = 692.88

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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.