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Finding the Fourth Proportional to 1,016.64, 1,525.56 and 584.16

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Solution

The fourth proportional to 1,016.64, 1,525.56 and 584.16 is: 876.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,016.64 : 1,525.56 = 584.16 : x
  2. Step 2: Convert to fraction form
    1,016.64/1,525.56 = 584.16/x
  3. Step 3: Cross multiply
    1,016.64x = 1,525.56 × 584.16
  4. Step 4: Simplify right side
    1,016.64x = 891,171.13
  5. Step 5: Solve for x
    x = 891,171.13/1,016.64
  6. Step 6: Final answer
    x = 876.58

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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.