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Finding the Fourth Proportional to 885.96, 1,328.58 and 520.92

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Solution

The fourth proportional to 885.96, 1,328.58 and 520.92 is: 781.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    885.96 : 1,328.58 = 520.92 : x
  2. Step 2: Convert to fraction form
    885.96/1,328.58 = 520.92/x
  3. Step 3: Cross multiply
    885.96x = 1,328.58 × 520.92
  4. Step 4: Simplify right side
    885.96x = 692,083.89
  5. Step 5: Solve for x
    x = 692,083.89/885.96
  6. Step 6: Final answer
    x = 781.17

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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.