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Finding the Fourth Proportional to 887.49, 1,224.86 and 509.49

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Solution

The fourth proportional to 887.49, 1,224.86 and 509.49 is: 703.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    887.49 : 1,224.86 = 509.49 : x
  2. Step 2: Convert to fraction form
    887.49/1,224.86 = 509.49/x
  3. Step 3: Cross multiply
    887.49x = 1,224.86 × 509.49
  4. Step 4: Simplify right side
    887.49x = 624,051.37
  5. Step 5: Solve for x
    x = 624,051.37/887.49
  6. Step 6: Final answer
    x = 703.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.