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Finding the Fourth Proportional to 1,345.59, 1,856.90 and 756.12

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Solution

The fourth proportional to 1,345.59, 1,856.90 and 756.12 is: 1,043.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,345.59 : 1,856.90 = 756.12 : x
  2. Step 2: Convert to fraction form
    1,345.59/1,856.90 = 756.12/x
  3. Step 3: Cross multiply
    1,345.59x = 1,856.90 × 756.12
  4. Step 4: Simplify right side
    1,345.59x = 1,404,039.23
  5. Step 5: Solve for x
    x = 1,404,039.23/1,345.59
  6. Step 6: Final answer
    x = 1,043.44

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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.