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Finding the Fourth Proportional to 1,057.32, 1,584.36 and 479.52

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Solution

The fourth proportional to 1,057.32, 1,584.36 and 479.52 is: 718.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057.32 : 1,584.36 = 479.52 : x
  2. Step 2: Convert to fraction form
    1,057.32/1,584.36 = 479.52/x
  3. Step 3: Cross multiply
    1,057.32x = 1,584.36 × 479.52
  4. Step 4: Simplify right side
    1,057.32x = 759,732.31
  5. Step 5: Solve for x
    x = 759,732.31/1,057.32
  6. Step 6: Final answer
    x = 718.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.