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Finding the Fourth Proportional to 1,476.51, 2,037.59 and 813.36

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Solution

The fourth proportional to 1,476.51, 2,037.59 and 813.36 is: 1,122.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,476.51 : 2,037.59 = 813.36 : x
  2. Step 2: Convert to fraction form
    1,476.51/2,037.59 = 813.36/x
  3. Step 3: Cross multiply
    1,476.51x = 2,037.59 × 813.36
  4. Step 4: Simplify right side
    1,476.51x = 1,657,279.95
  5. Step 5: Solve for x
    x = 1,657,279.95/1,476.51
  6. Step 6: Final answer
    x = 1,122.43

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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.