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Finding the Fourth Proportional to 1,041.68, 1,561.33 and 348.18

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Solution

The fourth proportional to 1,041.68, 1,561.33 and 348.18 is: 521.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,041.68 : 1,561.33 = 348.18 : x
  2. Step 2: Convert to fraction form
    1,041.68/1,561.33 = 348.18/x
  3. Step 3: Cross multiply
    1,041.68x = 1,561.33 × 348.18
  4. Step 4: Simplify right side
    1,041.68x = 543,625.28
  5. Step 5: Solve for x
    x = 543,625.28/1,041.68
  6. Step 6: Final answer
    x = 521.88

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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.