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Finding the Fourth Proportional to 1,016.30, 1,524.64 and 468.12

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Solution

The fourth proportional to 1,016.30, 1,524.64 and 468.12 is: 702.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,016.30 : 1,524.64 = 468.12 : x
  2. Step 2: Convert to fraction form
    1,016.30/1,524.64 = 468.12/x
  3. Step 3: Cross multiply
    1,016.30x = 1,524.64 × 468.12
  4. Step 4: Simplify right side
    1,016.30x = 713,714.48
  5. Step 5: Solve for x
    x = 713,714.48/1,016.30
  6. Step 6: Final answer
    x = 702.27

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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.