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Finding the Fourth Proportional to 885.76, 1,328.54 and 365.45

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Solution

The fourth proportional to 885.76, 1,328.54 and 365.45 is: 548.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    885.76 : 1,328.54 = 365.45 : x
  2. Step 2: Convert to fraction form
    885.76/1,328.54 = 365.45/x
  3. Step 3: Cross multiply
    885.76x = 1,328.54 × 365.45
  4. Step 4: Simplify right side
    885.76x = 485,506.47
  5. Step 5: Solve for x
    x = 485,506.47/885.76
  6. Step 6: Final answer
    x = 548.13

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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.