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Finding the Fourth Proportional to 1,152.94, 1,592.37 and 761.71

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Solution

The fourth proportional to 1,152.94, 1,592.37 and 761.71 is: 1,052.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,152.94 : 1,592.37 = 761.71 : x
  2. Step 2: Convert to fraction form
    1,152.94/1,592.37 = 761.71/x
  3. Step 3: Cross multiply
    1,152.94x = 1,592.37 × 761.71
  4. Step 4: Simplify right side
    1,152.94x = 1,212,924.15
  5. Step 5: Solve for x
    x = 1,212,924.15/1,152.94
  6. Step 6: Final answer
    x = 1,052.03

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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.