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Finding the Fourth Proportional to 1,057.16, 1,585.74 and 479.63

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Solution

The fourth proportional to 1,057.16, 1,585.74 and 479.63 is: 719.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057.16 : 1,585.74 = 479.63 : x
  2. Step 2: Convert to fraction form
    1,057.16/1,585.74 = 479.63/x
  3. Step 3: Cross multiply
    1,057.16x = 1,585.74 × 479.63
  4. Step 4: Simplify right side
    1,057.16x = 760,560.55
  5. Step 5: Solve for x
    x = 760,560.55/1,057.16
  6. Step 6: Final answer
    x = 719.44

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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.