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Finding the Fourth Proportional to 1,016.76, 1,523.46 and 584.28

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Solution

The fourth proportional to 1,016.76, 1,523.46 and 584.28 is: 875.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,016.76 : 1,523.46 = 584.28 : x
  2. Step 2: Convert to fraction form
    1,016.76/1,523.46 = 584.28/x
  3. Step 3: Cross multiply
    1,016.76x = 1,523.46 × 584.28
  4. Step 4: Simplify right side
    1,016.76x = 890,127.21
  5. Step 5: Solve for x
    x = 890,127.21/1,016.76
  6. Step 6: Final answer
    x = 875.45

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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.