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Finding the Fourth Proportional to 1,503.70, 2,255.15 and 463.70

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Solution

The fourth proportional to 1,503.70, 2,255.15 and 463.70 is: 695.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,503.70 : 2,255.15 = 463.70 : x
  2. Step 2: Convert to fraction form
    1,503.70/2,255.15 = 463.70/x
  3. Step 3: Cross multiply
    1,503.70x = 2,255.15 × 463.70
  4. Step 4: Simplify right side
    1,503.70x = 1,045,713.06
  5. Step 5: Solve for x
    x = 1,045,713.06/1,503.70
  6. Step 6: Final answer
    x = 695.43

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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.