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Finding the Fourth Proportional to 1,327.02, 1,830.90 and 928.23

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Solution

The fourth proportional to 1,327.02, 1,830.90 and 928.23 is: 1,280.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,327.02 : 1,830.90 = 928.23 : x
  2. Step 2: Convert to fraction form
    1,327.02/1,830.90 = 928.23/x
  3. Step 3: Cross multiply
    1,327.02x = 1,830.90 × 928.23
  4. Step 4: Simplify right side
    1,327.02x = 1,699,492.92
  5. Step 5: Solve for x
    x = 1,699,492.92/1,327.02
  6. Step 6: Final answer
    x = 1,280.69

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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.