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Finding the Fourth Proportional to 830.10, 1,144.86 and 804.72

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Solution

The fourth proportional to 830.10, 1,144.86 and 804.72 is: 1,109.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.10 : 1,144.86 = 804.72 : x
  2. Step 2: Convert to fraction form
    830.10/1,144.86 = 804.72/x
  3. Step 3: Cross multiply
    830.10x = 1,144.86 × 804.72
  4. Step 4: Simplify right side
    830.10x = 921,291.74
  5. Step 5: Solve for x
    x = 921,291.74/830.10
  6. Step 6: Final answer
    x = 1,109.86

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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.