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Finding the Fourth Proportional to 1,396.57, 1,927.12 and 837.02

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Solution

The fourth proportional to 1,396.57, 1,927.12 and 837.02 is: 1,155.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,396.57 : 1,927.12 = 837.02 : x
  2. Step 2: Convert to fraction form
    1,396.57/1,927.12 = 837.02/x
  3. Step 3: Cross multiply
    1,396.57x = 1,927.12 × 837.02
  4. Step 4: Simplify right side
    1,396.57x = 1,613,037.98
  5. Step 5: Solve for x
    x = 1,613,037.98/1,396.57
  6. Step 6: Final answer
    x = 1,155.00

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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.