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Finding the Fourth Proportional to 1,057.04, 1,585.65 and 326.78

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Solution

The fourth proportional to 1,057.04, 1,585.65 and 326.78 is: 490.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057.04 : 1,585.65 = 326.78 : x
  2. Step 2: Convert to fraction form
    1,057.04/1,585.65 = 326.78/x
  3. Step 3: Cross multiply
    1,057.04x = 1,585.65 × 326.78
  4. Step 4: Simplify right side
    1,057.04x = 518,158.71
  5. Step 5: Solve for x
    x = 518,158.71/1,057.04
  6. Step 6: Final answer
    x = 490.20

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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.