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Finding the Fourth Proportional to 1,298.88, 1,944.48 and 841.92

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Solution

The fourth proportional to 1,298.88, 1,944.48 and 841.92 is: 1,260.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,298.88 : 1,944.48 = 841.92 : x
  2. Step 2: Convert to fraction form
    1,298.88/1,944.48 = 841.92/x
  3. Step 3: Cross multiply
    1,298.88x = 1,944.48 × 841.92
  4. Step 4: Simplify right side
    1,298.88x = 1,637,096.60
  5. Step 5: Solve for x
    x = 1,637,096.60/1,298.88
  6. Step 6: Final answer
    x = 1,260.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.