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Finding the Fourth Proportional to 1,345.99, 1,857.50 and 756.57

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Solution

The fourth proportional to 1,345.99, 1,857.50 and 756.57 is: 1,044.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,345.99 : 1,857.50 = 756.57 : x
  2. Step 2: Convert to fraction form
    1,345.99/1,857.50 = 756.57/x
  3. Step 3: Cross multiply
    1,345.99x = 1,857.50 × 756.57
  4. Step 4: Simplify right side
    1,345.99x = 1,405,328.78
  5. Step 5: Solve for x
    x = 1,405,328.78/1,345.99
  6. Step 6: Final answer
    x = 1,044.09

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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.