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Finding the Fourth Proportional to 1,342.91, 1,853.22 and 783.76

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Solution

The fourth proportional to 1,342.91, 1,853.22 and 783.76 is: 1,081.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,342.91 : 1,853.22 = 783.76 : x
  2. Step 2: Convert to fraction form
    1,342.91/1,853.22 = 783.76/x
  3. Step 3: Cross multiply
    1,342.91x = 1,853.22 × 783.76
  4. Step 4: Simplify right side
    1,342.91x = 1,452,479.71
  5. Step 5: Solve for x
    x = 1,452,479.71/1,342.91
  6. Step 6: Final answer
    x = 1,081.59

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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.