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Finding the Fourth Proportional to 1,429.48, 1,972.65 and 840.03

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Solution

The fourth proportional to 1,429.48, 1,972.65 and 840.03 is: 1,159.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,429.48 : 1,972.65 = 840.03 : x
  2. Step 2: Convert to fraction form
    1,429.48/1,972.65 = 840.03/x
  3. Step 3: Cross multiply
    1,429.48x = 1,972.65 × 840.03
  4. Step 4: Simplify right side
    1,429.48x = 1,657,085.18
  5. Step 5: Solve for x
    x = 1,657,085.18/1,429.48
  6. Step 6: Final answer
    x = 1,159.22

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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.