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Finding the Fourth Proportional to 1,275.72, 1,913.16 and 409.82

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Solution

The fourth proportional to 1,275.72, 1,913.16 and 409.82 is: 614.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,275.72 : 1,913.16 = 409.82 : x
  2. Step 2: Convert to fraction form
    1,275.72/1,913.16 = 409.82/x
  3. Step 3: Cross multiply
    1,275.72x = 1,913.16 × 409.82
  4. Step 4: Simplify right side
    1,275.72x = 784,051.23
  5. Step 5: Solve for x
    x = 784,051.23/1,275.72
  6. Step 6: Final answer
    x = 614.60

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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.