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Finding the Fourth Proportional to 1,342.53, 1,852.67 and 753.05

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Solution

The fourth proportional to 1,342.53, 1,852.67 and 753.05 is: 1,039.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,342.53 : 1,852.67 = 753.05 : x
  2. Step 2: Convert to fraction form
    1,342.53/1,852.67 = 753.05/x
  3. Step 3: Cross multiply
    1,342.53x = 1,852.67 × 753.05
  4. Step 4: Simplify right side
    1,342.53x = 1,395,153.14
  5. Step 5: Solve for x
    x = 1,395,153.14/1,342.53
  6. Step 6: Final answer
    x = 1,039.20

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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.