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Finding the Fourth Proportional to 1,429.89, 1,973.58 and 840.62

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Solution

The fourth proportional to 1,429.89, 1,973.58 and 840.62 is: 1,160.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,429.89 : 1,973.58 = 840.62 : x
  2. Step 2: Convert to fraction form
    1,429.89/1,973.58 = 840.62/x
  3. Step 3: Cross multiply
    1,429.89x = 1,973.58 × 840.62
  4. Step 4: Simplify right side
    1,429.89x = 1,659,020.95
  5. Step 5: Solve for x
    x = 1,659,020.95/1,429.89
  6. Step 6: Final answer
    x = 1,160.24

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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.