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Finding the Fourth Proportional to 885.78, 1,328.04 and 399.06

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Solution

The fourth proportional to 885.78, 1,328.04 and 399.06 is: 598.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    885.78 : 1,328.04 = 399.06 : x
  2. Step 2: Convert to fraction form
    885.78/1,328.04 = 399.06/x
  3. Step 3: Cross multiply
    885.78x = 1,328.04 × 399.06
  4. Step 4: Simplify right side
    885.78x = 529,967.64
  5. Step 5: Solve for x
    x = 529,967.64/885.78
  6. Step 6: Final answer
    x = 598.31

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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.