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Finding the Fourth Proportional to 1,430.83, 1,974.72 and 801.46

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Solution

The fourth proportional to 1,430.83, 1,974.72 and 801.46 is: 1,106.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,430.83 : 1,974.72 = 801.46 : x
  2. Step 2: Convert to fraction form
    1,430.83/1,974.72 = 801.46/x
  3. Step 3: Cross multiply
    1,430.83x = 1,974.72 × 801.46
  4. Step 4: Simplify right side
    1,430.83x = 1,582,659.09
  5. Step 5: Solve for x
    x = 1,582,659.09/1,430.83
  6. Step 6: Final answer
    x = 1,106.11

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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.