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Finding the Fourth Proportional to 887.85, 1,225.34 and 509.88

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Solution

The fourth proportional to 887.85, 1,225.34 and 509.88 is: 703.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    887.85 : 1,225.34 = 509.88 : x
  2. Step 2: Convert to fraction form
    887.85/1,225.34 = 509.88/x
  3. Step 3: Cross multiply
    887.85x = 1,225.34 × 509.88
  4. Step 4: Simplify right side
    887.85x = 624,776.36
  5. Step 5: Solve for x
    x = 624,776.36/887.85
  6. Step 6: Final answer
    x = 703.70

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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.