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Finding the Fourth Proportional to 667.16, 1,001.26 and 463.16

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Solution

The fourth proportional to 667.16, 1,001.26 and 463.16 is: 695.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.16 : 1,001.26 = 463.16 : x
  2. Step 2: Convert to fraction form
    667.16/1,001.26 = 463.16/x
  3. Step 3: Cross multiply
    667.16x = 1,001.26 × 463.16
  4. Step 4: Simplify right side
    667.16x = 463,741.27
  5. Step 5: Solve for x
    x = 463,741.27/667.16
  6. Step 6: Final answer
    x = 695.10

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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.