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Finding the Fourth Proportional to 1,503.66, 2,255.78 and 463.48

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Solution

The fourth proportional to 1,503.66, 2,255.78 and 463.48 is: 695.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,503.66 : 2,255.78 = 463.48 : x
  2. Step 2: Convert to fraction form
    1,503.66/2,255.78 = 463.48/x
  3. Step 3: Cross multiply
    1,503.66x = 2,255.78 × 463.48
  4. Step 4: Simplify right side
    1,503.66x = 1,045,508.91
  5. Step 5: Solve for x
    x = 1,045,508.91/1,503.66
  6. Step 6: Final answer
    x = 695.31

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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.