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Finding the Fourth Proportional to 1,429.83, 1,973.34 and 800.46

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Solution

The fourth proportional to 1,429.83, 1,973.34 and 800.46 is: 1,104.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,429.83 : 1,973.34 = 800.46 : x
  2. Step 2: Convert to fraction form
    1,429.83/1,973.34 = 800.46/x
  3. Step 3: Cross multiply
    1,429.83x = 1,973.34 × 800.46
  4. Step 4: Simplify right side
    1,429.83x = 1,579,579.74
  5. Step 5: Solve for x
    x = 1,579,579.74/1,429.83
  6. Step 6: Final answer
    x = 1,104.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.