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Finding the Fourth Proportional to 1,081.63, 1,492.65 and 609.53

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Solution

The fourth proportional to 1,081.63, 1,492.65 and 609.53 is: 841.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,081.63 : 1,492.65 = 609.53 : x
  2. Step 2: Convert to fraction form
    1,081.63/1,492.65 = 609.53/x
  3. Step 3: Cross multiply
    1,081.63x = 1,492.65 × 609.53
  4. Step 4: Simplify right side
    1,081.63x = 909,813.09
  5. Step 5: Solve for x
    x = 909,813.09/1,081.63
  6. Step 6: Final answer
    x = 841.15

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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.