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Finding the Fourth Proportional to 903.30, 1,267.50 and 903.30

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Solution

The fourth proportional to 903.30, 1,267.50 and 903.30 is: 1,267.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    903.30 : 1,267.50 = 903.30 : x
  2. Step 2: Convert to fraction form
    903.30/1,267.50 = 903.30/x
  3. Step 3: Cross multiply
    903.30x = 1,267.50 × 903.30
  4. Step 4: Simplify right side
    903.30x = 1,144,932.75
  5. Step 5: Solve for x
    x = 1,144,932.75/903.30
  6. Step 6: Final answer
    x = 1,267.50

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.