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Finding the Fourth Proportional to 1,345.96, 1,857.42 and 756.50

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Solution

The fourth proportional to 1,345.96, 1,857.42 and 756.50 is: 1,043.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,345.96 : 1,857.42 = 756.50 : x
  2. Step 2: Convert to fraction form
    1,345.96/1,857.42 = 756.50/x
  3. Step 3: Cross multiply
    1,345.96x = 1,857.42 × 756.50
  4. Step 4: Simplify right side
    1,345.96x = 1,405,128.94
  5. Step 5: Solve for x
    x = 1,405,128.94/1,345.96
  6. Step 6: Final answer
    x = 1,043.96

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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.