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Finding the Fourth Proportional to 1,393.06, 1,920.38 and 1,060.91

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Solution

The fourth proportional to 1,393.06, 1,920.38 and 1,060.91 is: 1,462.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,393.06 : 1,920.38 = 1,060.91 : x
  2. Step 2: Convert to fraction form
    1,393.06/1,920.38 = 1,060.91/x
  3. Step 3: Cross multiply
    1,393.06x = 1,920.38 × 1,060.91
  4. Step 4: Simplify right side
    1,393.06x = 2,037,346.19
  5. Step 5: Solve for x
    x = 2,037,346.19/1,393.06
  6. Step 6: Final answer
    x = 1,462.50

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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.