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Finding the Fourth Proportional to 1,345.42, 1,856.64 and 755.97

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Solution

The fourth proportional to 1,345.42, 1,856.64 and 755.97 is: 1,043.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,345.42 : 1,856.64 = 755.97 : x
  2. Step 2: Convert to fraction form
    1,345.42/1,856.64 = 755.97/x
  3. Step 3: Cross multiply
    1,345.42x = 1,856.64 × 755.97
  4. Step 4: Simplify right side
    1,345.42x = 1,403,564.14
  5. Step 5: Solve for x
    x = 1,403,564.14/1,345.42
  6. Step 6: Final answer
    x = 1,043.22

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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.