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Finding the Fourth Proportional to 1,429.72, 1,973.02 and 840.26

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Solution

The fourth proportional to 1,429.72, 1,973.02 and 840.26 is: 1,159.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,429.72 : 1,973.02 = 840.26 : x
  2. Step 2: Convert to fraction form
    1,429.72/1,973.02 = 840.26/x
  3. Step 3: Cross multiply
    1,429.72x = 1,973.02 × 840.26
  4. Step 4: Simplify right side
    1,429.72x = 1,657,849.79
  5. Step 5: Solve for x
    x = 1,657,849.79/1,429.72
  6. Step 6: Final answer
    x = 1,159.56

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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.