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Finding the Fourth Proportional to 1,503.77, 2,254.87 and 463.49

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Solution

The fourth proportional to 1,503.77, 2,254.87 and 463.49 is: 694.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,503.77 : 2,254.87 = 463.49 : x
  2. Step 2: Convert to fraction form
    1,503.77/2,254.87 = 463.49/x
  3. Step 3: Cross multiply
    1,503.77x = 2,254.87 × 463.49
  4. Step 4: Simplify right side
    1,503.77x = 1,045,107.46
  5. Step 5: Solve for x
    x = 1,045,107.46/1,503.77
  6. Step 6: Final answer
    x = 694.99

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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.