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Finding the Fourth Proportional to 1,477.00, 2,038.17 and 813.85

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Solution

The fourth proportional to 1,477.00, 2,038.17 and 813.85 is: 1,123.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,477.00 : 2,038.17 = 813.85 : x
  2. Step 2: Convert to fraction form
    1,477.00/2,038.17 = 813.85/x
  3. Step 3: Cross multiply
    1,477.00x = 2,038.17 × 813.85
  4. Step 4: Simplify right side
    1,477.00x = 1,658,754.46
  5. Step 5: Solve for x
    x = 1,658,754.46/1,477.00
  6. Step 6: Final answer
    x = 1,123.06

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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.