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Finding the Fourth Proportional to 903.75, 1,353.28 and 774.58

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Solution

The fourth proportional to 903.75, 1,353.28 and 774.58 is: 1,159.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    903.75 : 1,353.28 = 774.58 : x
  2. Step 2: Convert to fraction form
    903.75/1,353.28 = 774.58/x
  3. Step 3: Cross multiply
    903.75x = 1,353.28 × 774.58
  4. Step 4: Simplify right side
    903.75x = 1,048,223.62
  5. Step 5: Solve for x
    x = 1,048,223.62/903.75
  6. Step 6: Final answer
    x = 1,159.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.