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Finding the Fourth Proportional to 1,203.56, 1,805.68 and 463.51

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Solution

The fourth proportional to 1,203.56, 1,805.68 and 463.51 is: 695.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,203.56 : 1,805.68 = 463.51 : x
  2. Step 2: Convert to fraction form
    1,203.56/1,805.68 = 463.51/x
  3. Step 3: Cross multiply
    1,203.56x = 1,805.68 × 463.51
  4. Step 4: Simplify right side
    1,203.56x = 836,953.57
  5. Step 5: Solve for x
    x = 836,953.57/1,203.56
  6. Step 6: Final answer
    x = 695.40

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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.