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Finding the Fourth Proportional to 1,373.96, 1,896 and 784.48

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Solution

The fourth proportional to 1,373.96, 1,896 and 784.48 is: 1,082.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,373.96 : 1,896 = 784.48 : x
  2. Step 2: Convert to fraction form
    1,373.96/1,896 = 784.48/x
  3. Step 3: Cross multiply
    1,373.96x = 1,896 × 784.48
  4. Step 4: Simplify right side
    1,373.96x = 1,487,374.08
  5. Step 5: Solve for x
    x = 1,487,374.08/1,373.96
  6. Step 6: Final answer
    x = 1,082.55

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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.