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Finding the Fourth Proportional to 903.72, 1,355.58 and 538.32

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Solution

The fourth proportional to 903.72, 1,355.58 and 538.32 is: 807.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    903.72 : 1,355.58 = 538.32 : x
  2. Step 2: Convert to fraction form
    903.72/1,355.58 = 538.32/x
  3. Step 3: Cross multiply
    903.72x = 1,355.58 × 538.32
  4. Step 4: Simplify right side
    903.72x = 729,735.83
  5. Step 5: Solve for x
    x = 729,735.83/903.72
  6. Step 6: Final answer
    x = 807.48

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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.