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Finding the Fourth Proportional to 738.08, 1,104.81 and 540.00

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Solution

The fourth proportional to 738.08, 1,104.81 and 540.00 is: 808.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.08 : 1,104.81 = 540.00 : x
  2. Step 2: Convert to fraction form
    738.08/1,104.81 = 540.00/x
  3. Step 3: Cross multiply
    738.08x = 1,104.81 × 540.00
  4. Step 4: Simplify right side
    738.08x = 596,595.97
  5. Step 5: Solve for x
    x = 596,595.97/738.08
  6. Step 6: Final answer
    x = 808.30

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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.