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Finding the Fourth Proportional to 1,200.84, 1,798.56 and 893.22

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Solution

The fourth proportional to 1,200.84, 1,798.56 and 893.22 is: 1,337.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,200.84 : 1,798.56 = 893.22 : x
  2. Step 2: Convert to fraction form
    1,200.84/1,798.56 = 893.22/x
  3. Step 3: Cross multiply
    1,200.84x = 1,798.56 × 893.22
  4. Step 4: Simplify right side
    1,200.84x = 1,606,509.76
  5. Step 5: Solve for x
    x = 1,606,509.76/1,200.84
  6. Step 6: Final answer
    x = 1,337.82

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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.