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Finding the Fourth Proportional to 903.22, 1,353.64 and 464.10

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Solution

The fourth proportional to 903.22, 1,353.64 and 464.10 is: 695.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    903.22 : 1,353.64 = 464.10 : x
  2. Step 2: Convert to fraction form
    903.22/1,353.64 = 464.10/x
  3. Step 3: Cross multiply
    903.22x = 1,353.64 × 464.10
  4. Step 4: Simplify right side
    903.22x = 628,215.24
  5. Step 5: Solve for x
    x = 628,215.24/903.22
  6. Step 6: Final answer
    x = 695.53

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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.