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Finding the Fourth Proportional to 1,342.83, 1,853.23 and 783.19

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Solution

The fourth proportional to 1,342.83, 1,853.23 and 783.19 is: 1,080.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,342.83 : 1,853.23 = 783.19 : x
  2. Step 2: Convert to fraction form
    1,342.83/1,853.23 = 783.19/x
  3. Step 3: Cross multiply
    1,342.83x = 1,853.23 × 783.19
  4. Step 4: Simplify right side
    1,342.83x = 1,451,438.24
  5. Step 5: Solve for x
    x = 1,451,438.24/1,342.83
  6. Step 6: Final answer
    x = 1,080.88

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.