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Finding the Fourth Proportional to 887.23, 1,328.34 and 469.81

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Solution

The fourth proportional to 887.23, 1,328.34 and 469.81 is: 703.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    887.23 : 1,328.34 = 469.81 : x
  2. Step 2: Convert to fraction form
    887.23/1,328.34 = 469.81/x
  3. Step 3: Cross multiply
    887.23x = 1,328.34 × 469.81
  4. Step 4: Simplify right side
    887.23x = 624,069.40
  5. Step 5: Solve for x
    x = 624,069.40/887.23
  6. Step 6: Final answer
    x = 703.39

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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.