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Finding the Fourth Proportional to 1,041.03, 1,561.51 and 271.53

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Solution

The fourth proportional to 1,041.03, 1,561.51 and 271.53 is: 407.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,041.03 : 1,561.51 = 271.53 : x
  2. Step 2: Convert to fraction form
    1,041.03/1,561.51 = 271.53/x
  3. Step 3: Cross multiply
    1,041.03x = 1,561.51 × 271.53
  4. Step 4: Simplify right side
    1,041.03x = 423,996.81
  5. Step 5: Solve for x
    x = 423,996.81/1,041.03
  6. Step 6: Final answer
    x = 407.29

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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.