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Finding the Fourth Proportional to 887.94, 1,225.48 and 509.98

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Solution

The fourth proportional to 887.94, 1,225.48 and 509.98 is: 703.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    887.94 : 1,225.48 = 509.98 : x
  2. Step 2: Convert to fraction form
    887.94/1,225.48 = 509.98/x
  3. Step 3: Cross multiply
    887.94x = 1,225.48 × 509.98
  4. Step 4: Simplify right side
    887.94x = 624,965.95
  5. Step 5: Solve for x
    x = 624,965.95/887.94
  6. Step 6: Final answer
    x = 703.84

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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.