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Finding the Fourth Proportional to 1,345.35, 1,856.61 and 755.93

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Solution

The fourth proportional to 1,345.35, 1,856.61 and 755.93 is: 1,043.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,345.35 : 1,856.61 = 755.93 : x
  2. Step 2: Convert to fraction form
    1,345.35/1,856.61 = 755.93/x
  3. Step 3: Cross multiply
    1,345.35x = 1,856.61 × 755.93
  4. Step 4: Simplify right side
    1,345.35x = 1,403,457.91
  5. Step 5: Solve for x
    x = 1,403,457.91/1,345.35
  6. Step 6: Final answer
    x = 1,043.19

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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.