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Finding the Fourth Proportional to 1,345.61, 1,856.98 and 756.19

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Solution

The fourth proportional to 1,345.61, 1,856.98 and 756.19 is: 1,043.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,345.61 : 1,856.98 = 756.19 : x
  2. Step 2: Convert to fraction form
    1,345.61/1,856.98 = 756.19/x
  3. Step 3: Cross multiply
    1,345.61x = 1,856.98 × 756.19
  4. Step 4: Simplify right side
    1,345.61x = 1,404,229.71
  5. Step 5: Solve for x
    x = 1,404,229.71/1,345.61
  6. Step 6: Final answer
    x = 1,043.56

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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.