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Finding the Fourth Proportional to 1,057.64, 1,584.54 and 479.08

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Solution

The fourth proportional to 1,057.64, 1,584.54 and 479.08 is: 717.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057.64 : 1,584.54 = 479.08 : x
  2. Step 2: Convert to fraction form
    1,057.64/1,584.54 = 479.08/x
  3. Step 3: Cross multiply
    1,057.64x = 1,584.54 × 479.08
  4. Step 4: Simplify right side
    1,057.64x = 759,121.42
  5. Step 5: Solve for x
    x = 759,121.42/1,057.64
  6. Step 6: Final answer
    x = 717.75

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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.