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Finding the Fourth Proportional to 1,146.02, 1,578.02 and 896.94

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Solution

The fourth proportional to 1,146.02, 1,578.02 and 896.94 is: 1,235.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,146.02 : 1,578.02 = 896.94 : x
  2. Step 2: Convert to fraction form
    1,146.02/1,578.02 = 896.94/x
  3. Step 3: Cross multiply
    1,146.02x = 1,578.02 × 896.94
  4. Step 4: Simplify right side
    1,146.02x = 1,415,384.77
  5. Step 5: Solve for x
    x = 1,415,384.77/1,146.02
  6. Step 6: Final answer
    x = 1,235.05

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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.