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Finding the Fourth Proportional to 794.04, 1,094.08 and 653.68

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Solution

The fourth proportional to 794.04, 1,094.08 and 653.68 is: 900.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.04 : 1,094.08 = 653.68 : x
  2. Step 2: Convert to fraction form
    794.04/1,094.08 = 653.68/x
  3. Step 3: Cross multiply
    794.04x = 1,094.08 × 653.68
  4. Step 4: Simplify right side
    794.04x = 715,178.21
  5. Step 5: Solve for x
    x = 715,178.21/794.04
  6. Step 6: Final answer
    x = 900.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.