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Finding the Fourth Proportional to 1,476.93, 2,038.14 and 813.78

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Solution

The fourth proportional to 1,476.93, 2,038.14 and 813.78 is: 1,123.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,476.93 : 2,038.14 = 813.78 : x
  2. Step 2: Convert to fraction form
    1,476.93/2,038.14 = 813.78/x
  3. Step 3: Cross multiply
    1,476.93x = 2,038.14 × 813.78
  4. Step 4: Simplify right side
    1,476.93x = 1,658,597.57
  5. Step 5: Solve for x
    x = 1,658,597.57/1,476.93
  6. Step 6: Final answer
    x = 1,123.00

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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.