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Finding the Fourth Proportional to 1,345.46, 1,856.63 and 755.89

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Solution

The fourth proportional to 1,345.46, 1,856.63 and 755.89 is: 1,043.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,345.46 : 1,856.63 = 755.89 : x
  2. Step 2: Convert to fraction form
    1,345.46/1,856.63 = 755.89/x
  3. Step 3: Cross multiply
    1,345.46x = 1,856.63 × 755.89
  4. Step 4: Simplify right side
    1,345.46x = 1,403,405.30
  5. Step 5: Solve for x
    x = 1,403,405.30/1,345.46
  6. Step 6: Final answer
    x = 1,043.07

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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.