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Finding the Fourth Proportional to 907.50, 1,252.35 and 493.50

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Solution

The fourth proportional to 907.50, 1,252.35 and 493.50 is: 681.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    907.50 : 1,252.35 = 493.50 : x
  2. Step 2: Convert to fraction form
    907.50/1,252.35 = 493.50/x
  3. Step 3: Cross multiply
    907.50x = 1,252.35 × 493.50
  4. Step 4: Simplify right side
    907.50x = 618,034.73
  5. Step 5: Solve for x
    x = 618,034.73/907.50
  6. Step 6: Final answer
    x = 681.03

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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.