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Finding the Fourth Proportional to 1,104.03, 1,655.72 and 794.95

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Solution

The fourth proportional to 1,104.03, 1,655.72 and 794.95 is: 1,192.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,104.03 : 1,655.72 = 794.95 : x
  2. Step 2: Convert to fraction form
    1,104.03/1,655.72 = 794.95/x
  3. Step 3: Cross multiply
    1,104.03x = 1,655.72 × 794.95
  4. Step 4: Simplify right side
    1,104.03x = 1,316,214.61
  5. Step 5: Solve for x
    x = 1,316,214.61/1,104.03
  6. Step 6: Final answer
    x = 1,192.19

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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.