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Finding the Fourth Proportional to 1,374, 1,896.09 and 784.50

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Solution

The fourth proportional to 1,374, 1,896.09 and 784.50 is: 1,082.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,374 : 1,896.09 = 784.50 : x
  2. Step 2: Convert to fraction form
    1,374/1,896.09 = 784.50/x
  3. Step 3: Cross multiply
    1,374x = 1,896.09 × 784.50
  4. Step 4: Simplify right side
    1,374x = 1,487,482.61
  5. Step 5: Solve for x
    x = 1,487,482.61/1,374
  6. Step 6: Final answer
    x = 1,082.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.