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Finding the Fourth Proportional to 1,534.76, 2,302.82 and 804.16

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Solution

The fourth proportional to 1,534.76, 2,302.82 and 804.16 is: 1,206.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,534.76 : 2,302.82 = 804.16 : x
  2. Step 2: Convert to fraction form
    1,534.76/2,302.82 = 804.16/x
  3. Step 3: Cross multiply
    1,534.76x = 2,302.82 × 804.16
  4. Step 4: Simplify right side
    1,534.76x = 1,851,837.60
  5. Step 5: Solve for x
    x = 1,851,837.60/1,534.76
  6. Step 6: Final answer
    x = 1,206.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.