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Finding the Fourth Proportional to 886.04, 1,328.64 and 520.94

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Solution

The fourth proportional to 886.04, 1,328.64 and 520.94 is: 781.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    886.04 : 1,328.64 = 520.94 : x
  2. Step 2: Convert to fraction form
    886.04/1,328.64 = 520.94/x
  3. Step 3: Cross multiply
    886.04x = 1,328.64 × 520.94
  4. Step 4: Simplify right side
    886.04x = 692,141.72
  5. Step 5: Solve for x
    x = 692,141.72/886.04
  6. Step 6: Final answer
    x = 781.16

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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.